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BEGIN:VEVENT
SUMMARY:Remembering Werner
DTSTART;VALUE=DATE-TIME:20220602T153000Z
DTEND;VALUE=DATE-TIME:20220602T161500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6748@indico.math.cnrs.fr
DESCRIPTION:Speakers: Valeri Frolov\, Andrei Barvinsky\, Claude Barrabes\
n\nThe sad news came from Canada that Prof. Werner Israel passed away on 1
8th May. Werner had close relations with the gravity group in Tours and w
as a close friend to some participants of the workshop. A new session "Rem
embering Werner" is devoted to exchange of our memories about Werner.\n\n
https://indico.math.cnrs.fr/event/6944/contributions/6748/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6748/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Holographic 4-point functions in momentum space: renormalisation\,
anomalies and reduction scheme
DTSTART;VALUE=DATE-TIME:20220531T081500Z
DTEND;VALUE=DATE-TIME:20220531T090000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6728@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kostas Skenderis\n\nI will discuss the computation
of holographic 4-point functions in momentum space\, their renormalisation
and the associated anomalies and beta functions. I will also present a re
duction scheme that allows to explicitly compute a class of such correlato
rs starting from a seed correlator.\n\nhttps://indico.math.cnrs.fr/event/6
944/contributions/6728/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6728/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chiral Magnetic Effect in Heavy Ion Collisions: Status Report on E
xperiment and Holography
DTSTART;VALUE=DATE-TIME:20220601T144500Z
DTEND;VALUE=DATE-TIME:20220601T153000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6740@indico.math.cnrs.fr
DESCRIPTION:Speakers: Karl Landsteiner\n\nThe Chiral Magnetic Effect (CME)
is the generation of an electric current in a magnetic field due to a chi
rality imbalance. It is supposed to occur in non-central heavy ion collisi
ons. I will review the experimental efforts to measure CME and especially
highlight the recent results from the isobar run at RHIC. Then I present a
holographic model to address the question how fast the CME builds up in a
n out-of-equilibrium setup. This is a relevant question since the lifetim
e of the magnetic field is short. Results for static and time dependent fi
elds will be contrasted. The need for better models is evident. To improve
this situation the "AdS4CME" collaboration has been formed.\n\nhttps://in
dico.math.cnrs.fr/event/6944/contributions/6740/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6740/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Boundary Conformal Anomaly in Odd Dimensions
DTSTART;VALUE=DATE-TIME:20220602T081500Z
DTEND;VALUE=DATE-TIME:20220602T090000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6742@indico.math.cnrs.fr
DESCRIPTION:Speakers: Amin Faraji Astaneh\n\nIn odd dimensions the integr
ated conformal anomaly is entirely due to the boundary terms. I will prese
nt the heat kernel method as well as the holographic method to compute the
conformal charges in the presence of the boundaries in field theories of
odd dimensions.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/67
42/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6742/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Double scaling limits for field theory defects
DTSTART;VALUE=DATE-TIME:20220601T090000Z
DTEND;VALUE=DATE-TIME:20220601T094500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6736@indico.math.cnrs.fr
DESCRIPTION:Speakers: Diego Rodriguez-Gomez\n\nDefect operators in field t
heory are very interesting for a number of reasons. Drawing inspiration fr
om techniques which have been very recently applied to uncover interesting
properties of sectors of operators with large charge under a global symme
try\, we will study simple defects in the Wilson-Fisher fixed point near d
=4\,6 dimensions. Combining with localization\, we will also introduce a n
ovel double-scaling limit for certain Wilson loops in N=2 supersymmetric t
heories in 4d which allows to make exact statements at finite N.\n\nhttps:
//indico.math.cnrs.fr/event/6944/contributions/6736/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6736/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Persistent order in CFTs
DTSTART;VALUE=DATE-TIME:20220602T070000Z
DTEND;VALUE=DATE-TIME:20220602T074500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6741@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Smolkin\n\nI will review recent field theor
y constructions in three Euclidean dimensions which exhibit the phenomenon
of persistent symmetry breaking. I will argue that the models under study
are scale invariant and unitary. Open questions will be discussed.\n\nhtt
ps://indico.math.cnrs.fr/event/6944/contributions/6741/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6741/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some remarks on thermal CFTs and massless Feynman graphs
DTSTART;VALUE=DATE-TIME:20220531T090000Z
DTEND;VALUE=DATE-TIME:20220531T094500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6729@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anastasios Petkou\n\nI will elaborate on a recently
observed\, unexpected relationship between thermal partition functions of
free massive theories in odd dimensions and multilloop Feynman ladder gra
phs in d=4.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6729/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6729/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Five decades of the Weyl anomaly
DTSTART;VALUE=DATE-TIME:20220531T144500Z
DTEND;VALUE=DATE-TIME:20220531T153000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6733@indico.math.cnrs.fr
DESCRIPTION:Speakers: Michael Duff\n\nThe Weyl invariance under conformal
rescaling of the metric tensor\, displayed by classical massless fields in
teracting with gravity\, no longer survives in the quantum theory. Since
the 1970s this Weyl anomaly has found a variety of applications in quantum
gravity\, black hole physics\, inflationary cosmology\, string/M theory\,
conformal field theory\, quantum information theory and statistical mecha
nics.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6733/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6733/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jordan Algebras and Dynamical Conformal Symmetries
DTSTART;VALUE=DATE-TIME:20220602T090000Z
DTEND;VALUE=DATE-TIME:20220602T094500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6743@indico.math.cnrs.fr
DESCRIPTION:Speakers: Todor Popov\n\nThe Newton-Hooke duality between the
2D hydrogen atom and the Landau problem is explained via the Tits-Kantor
-Koecher construction of the conformal symmetries of the Jordan algebra o
f real symmetric $2 \\times 2$ matrices. The connection between the Landa
u problem and the 3D hydrogen atom is elucidated by the reduction of a D
irac spinor to a Majorana one in the Kustaanheimo-Stiefel spinorial regul
arization.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6743/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6743/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal Surface Defects in Maxwell Theory are Trivial
DTSTART;VALUE=DATE-TIME:20220601T081500Z
DTEND;VALUE=DATE-TIME:20220601T090000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6735@indico.math.cnrs.fr
DESCRIPTION:Speakers: Christopher Herzog\n\nI consider a free Maxwell fiel
d in four dimensions in the presence of a codimension two defect. Reflecti
on positive\, codimension two defects which preserve conformal symmetry in
this context are very limited. Only generalized free fields can exist on
the defect and interact with the free Maxwell field in the bulk. This res
ult stands in stark contrast to the codimension one case where interacting
conformal boundary conditions can be found for free bulk fields\, produci
ng systems with physical relevance\, for example for graphene.\n\nhttps://
indico.math.cnrs.fr/event/6944/contributions/6735/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6735/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Free energy and BPS Wilson loop in N=2 superconformal theories
DTSTART;VALUE=DATE-TIME:20220602T144500Z
DTEND;VALUE=DATE-TIME:20220602T153000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6747@indico.math.cnrs.fr
DESCRIPTION:Speakers: Arkady Tseytlin\n\nI will discuss some recent work o
n strong-coupling expansion of leading non-planar corrections in severa
l examples of N=2 superconformal models that are planar-equivalent to
N=4 super Yang-Mills theory and dual to type II superstring in orbifolds
/orientifolds of AdS5 x S5. Starting with the localization matrix model o
ne finds that the large 't Hooft coupling asymptotics of the coefficien
t of non-planar correction to Wilson loop expectation value is in agre
ement with a universal prediction on the dual string theory side.\n\nhtt
ps://indico.math.cnrs.fr/event/6944/contributions/6747/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6747/
END:VEVENT
BEGIN:VEVENT
SUMMARY:New thermoelectric transport from the scale anomaly in Dirac/Weyl
materials
DTSTART;VALUE=DATE-TIME:20220601T120000Z
DTEND;VALUE=DATE-TIME:20220601T124500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6737@indico.math.cnrs.fr
DESCRIPTION:Speakers: MarĂa Vozmediano\n\nThe low energy effective descri
ption of Weyl and Dirac semimetals as massless Dirac fermions has given
rise to new interpretations of thermal and thermo-electric transport phen
omena in these materials\, associated with quantum field theory prediction
s. In particular\, quantum anomalies - most prominently the chiral anomaly
- have provided a novel theoretical frame for the understanding of new ma
gneto transport features. More recently thermal transport has taken the le
ad in relation to the gravitational anomaly. In this talk we will describe
novel response functions associated with the scale anomaly in Dirac and
Weyl semimetals. I will try to provide the foundations and the results in
a pedagogical way.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions
/6737/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6737/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weyl Anomalies of Defects and Boundaries
DTSTART;VALUE=DATE-TIME:20220601T070000Z
DTEND;VALUE=DATE-TIME:20220601T074500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6734@indico.math.cnrs.fr
DESCRIPTION:Speakers: Andy O'Bannon\n\nConformal Field Theories (CFTs) in
even spacetime dimensions are characterised in part by Weyl anomaly coeffi
cients\, the coefficients of curvature invariants in the stress tensor's t
race. In particular\, these coefficients often appear in various physical
observables\, such as thermal entropy\, stress tensor correlators\, univer
sal contributions to entanglement entropy\, and more. Many of them also ob
ey powerful non-perturbative constraints\, such as c-theorems. What if the
CFT has a boundary or defect\, however? How do these contribute to the We
yl anomaly? Do their Weyl anomaly coefficients appear in any physical obse
rvables\, or obey any constraints? In this talk\, I will summarise the sta
te of the art and open questions in our understanding of boundary and defe
ct Weyl anomalies\, with emphasis on two- and four-dimensional boundaries
and defects.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6734/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6734/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anomalous Luttinger relation for energy transport: From black hole
's atmosphere to thermal quenches
DTSTART;VALUE=DATE-TIME:20220601T124500Z
DTEND;VALUE=DATE-TIME:20220601T133000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6738@indico.math.cnrs.fr
DESCRIPTION:Speakers: Baptiste Bermond\n\nThe idea that heat has weight le
d Tolman and Ehrenfest\, and later Luttinger\, to establish a deep\, but c
lassical\, connection between gravitational fields and thermal transport.
However\, gravitational anomalies can introduce additional quantum energy
scales\, suggesting that their celebrated results can break down at the qu
antum level. \nIn this work we establish the extent to which anomalies cor
rect the Tolman-Ehrenfest and Luttinger relations\, and their effect on th
ermal transport calculations. Our results reveal that gravitational anomal
ies are observable in flat-space time when the local temperature varies st
rongly. This condition maps to regions where the space-time curvature is s
izable\, including those defining the quantum atmosphere of a black-hole.
\nThese observations establish how the trace and gravitational anomalies m
anifest in non-linear thermal transport\, propagating energy waves followi
ng a thermal quench\, or the energy density of heating Floquet states indu
ced by repeated thermal quenches. Our results offer a systematic way to fi
nd examples where to explore gravitational anomalies in flat-space time.\n
\nhttps://indico.math.cnrs.fr/event/6944/contributions/6738/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6738/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal anomaly in spin ladders
DTSTART;VALUE=DATE-TIME:20220601T140000Z
DTEND;VALUE=DATE-TIME:20220601T144500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6739@indico.math.cnrs.fr
DESCRIPTION:Speakers: Ewelina Hankiewicz\n\nRecent theoretical and experim
ental advances allow for an observation of signatures of quantum anomalies
in condensed matter systems. After a brief discussion of the application
of chiral and parity anomalies in condensed matter [1\,2]\, we turn our at
tention to the conformal anomaly in (1+1)D systems. The conformal anomaly
signals itself in a breaking of scale invariance by quantum effects\, visi
ble in multi-point functions of the energy-momentum tensor. One way of ext
racting the conformal anomaly\, which we will discuss\, is to take the exp
ectation value of the energy-momentum tensor in a thermal state of constan
t temperature. While this is already connected to the free energy of the s
ystem and hence the specific heat\, we present here a new application. Usi
ng the conformal transformation\, we relate the variance of the on-site st
atic magnetization to the conformal anomaly and to the experiments on one
dimensional systems. Moreover\, we show how the deviations of static magne
tization are further modulated in systems with gradient of temperature. We
expect that these effects are important in spin chains and spin ladders.\
n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6739/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6739/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Renormalization of Horava gravity
DTSTART;VALUE=DATE-TIME:20220602T124500Z
DTEND;VALUE=DATE-TIME:20220602T133000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6745@indico.math.cnrs.fr
DESCRIPTION:Speakers: Andrei Barvinsky\n\nI will discuss quantum propertie
s of the projectable Horava gravity -- the first example of renormalizable
\, local and unitary gravity theory perturbatively consistent in UV domain
and demonstrating asymptotic freedom in (2+1) dimensions and possibly in
(3+1) dimensions. Correspondingly I will briefly dwell on gauge dependence
issues\, background field and heat kernel methods along with the dimensio
nal reduction necessary for the computation of beta-functions and conforma
l anomalies in such a class of extraordinarily complicated Lorentz non-inv
ariant theories. Possible dark energy and inflationary cosmology implicati
ons of this and related theories will be touched upon.\n\nhttps://indico.m
ath.cnrs.fr/event/6944/contributions/6745/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6745/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Limiting curvature gravity and problem of singularities
DTSTART;VALUE=DATE-TIME:20220602T140000Z
DTEND;VALUE=DATE-TIME:20220602T144500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6746@indico.math.cnrs.fr
DESCRIPTION:Speakers: Valeri Frolov\n\nI shall discuss a recently propose
d limiting curvature theory of gravity and its application to the problem
of singularities in cosmology and inside black holes. In this theory the g
rowth of the curvature is suppressed by specially chosen inequality constr
aints included in the gravity action. In this model the Universe has a bou
nce instead of the initial Big Bang singularity. We also consider a case o
f a spherically symmetric four dimensional black hole and demonstrate that
imposed curvature constraints modify a solution in the black hole interio
r. Instead of forming the curvature singularity the modified metric descri
bes a space which is exponentially expanding in one direction and oscillat
ing in the other two directions. The spacetime is complete and its polynom
ial curvature invariants are uniformly bounded.\n\nhttps://indico.math.cnr
s.fr/event/6944/contributions/6746/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6746/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Topological Corrections and Conformal Backreaction in the Einstein
Gauss-Bonnet/Weyl Theories of Gravity at D=4
DTSTART;VALUE=DATE-TIME:20220531T120000Z
DTEND;VALUE=DATE-TIME:20220531T124500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6730@indico.math.cnrs.fr
DESCRIPTION:Speakers: Claudio CorianĂ³\n\nWe investigate the gravitational
backreaction\, generated by coupling a general conformal sector to extern
al\, classical gravity\, as described by a conformal anomaly effective act
ion. We address the issues raised by the regularization of the topological
Gauss-Bonnet and Weyl terms in these actions and the use of dimensional r
egularization (DR). We discuss both their local and nonlocal expressions\,
as possible IR and UV descriptions of conformal theories\, below and abov
e the conformal breaking scale. Our discussion overlaps with several recen
t studies of dilaton gravities - obtained via a certain singular limit of
the Einstein-Gauss-Bonnet (EGB) theory - originally introduced as a way to
bypass Lovelock's theorem.Nonlocal\, purely gravitational realizations of
such EGB theories\, quadratic in the dilaton field\, beside their local q
uartic forms\, are possible by a finite renormalization of the Euler densi
ty.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6730/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6730/
END:VEVENT
BEGIN:VEVENT
SUMMARY:CFT in momentum space and Anomaly Actions in Gravity
DTSTART;VALUE=DATE-TIME:20220531T124500Z
DTEND;VALUE=DATE-TIME:20220531T133000Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6731@indico.math.cnrs.fr
DESCRIPTION:Speakers: Matteo Maglio\n\nIn this talk\, we present an overvi
ew of the essential features of the conformal anomaly. On general geometri
cal grounds\, we will see how an amplitude that is both gauge and conforma
l invariant will contain anomalous trace contributions in the physical lim
it $d=4$. \nThen we will discuss how to obtain the effective anomaly actio
n and illustrate the derivation of the conformal Ward identities directly
from its path-integral definition and its Weyl symmetry\, which is an alte
rnative to the standard operatorial approach used in conformal field theor
ies in flat space. Then we will present the method to write the general st
ructure of correlation functions in momentum space by solving the conforma
l constraints. We briefly discuss the procedure for scalar four-point func
tions to determine the dual conformal solutions\, identified only by the C
WIs\, and related to the conformal Yangian symmetry. We will see that in c
orrelation functions with energy-momentum tensors\, evaluated around a fla
t spacetime\, the conformal anomaly is characterized by the (non-local) ex
change of massless poles in specific form factors\, which has been investi
gated both in free field theory and non-perturbatively.\n\nhttps://indico.
math.cnrs.fr/event/6944/contributions/6731/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6731/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Effective Theory of Gravity and Dynamical Vacuum Energy
DTSTART;VALUE=DATE-TIME:20220531T140000Z
DTEND;VALUE=DATE-TIME:20220531T144500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6732@indico.math.cnrs.fr
DESCRIPTION:Speakers: Emil Mottola\n\nGravity and general relativity are c
onsidered as an Effective Field Theory (EFT) at low energies and macroscop
ic distance scales. The effective action of the conformal trace anomaly of
light or massless quantum fields has significant effects on macroscopic s
cales\, owing to its describing light cone singularities not captured by a
n expansion in local curvature invariants. A compact local form for the We
ss-Zumino effective action of the conformal anomaly and stress tensor is g
iven\, involving the introduction of a new light scalar\, which it is argu
ed should be included in the low energy effective action for gravity. This
scalar conformalon couples to the conformal part of the spacetime metric
and allows the effective value of the vacuum energy\, described as a conde
nsate of a 4-form abelian gauge field\, to change in space and time. The E
FT of vacuum energy thereby replaces the fixed constant Lambda of the clas
sical theory with a dynamical condensate whose natural ground state value
in empty flat space is Lambda_eff = 0 identically. In addition to the conf
ormal anomaly\, the principal physical inputs to the EFT are a topological
vacuum susceptibility characterizing the coupling of the 4-form condensat
e to the anomaly current\, in analogy to the chiral susceptibility of QCD\
, and the extension of the fermion anomaly to a general Einstein-Cartan sp
ace including torsion. By allowing Lambda_eff to vary rapidly near a black
hole horizon\, the EFT of dynamical vacuum energy provides an effective L
agrangian framework for gravitational condenstate stars\, as the final sta
te of complete gravitational collapse consistent with quantum theory. The
possible consequences of dynamical vacuum dark energy in cosmology\, the c
osmic coincidence problem\, and the role of conformal invariance for other
fine tuning issues in the Standard Model are discussed.\n\nhttps://indico
.math.cnrs.fr/event/6944/contributions/6732/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6732/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anomaly-free scale symmetry and gravity
DTSTART;VALUE=DATE-TIME:20220602T120000Z
DTEND;VALUE=DATE-TIME:20220602T124500Z
DTSTAMP;VALUE=DATE-TIME:20221001T232600Z
UID:indico-contribution-6744@indico.math.cnrs.fr
DESCRIPTION:Speakers: Anna Tokareva\n\nWe address the question of whether
the conformal invariance can be considered as a global symmetry of a theor
y of fundamental interactions. To describe Nature\, this theory must conta
in a mechanism of spontaneous breaking of the scale symmetry. Besides that
\, the fundamental theory must include gravity\, whereas all known extensi
ons of the conformal invariance to the curved space-time suffer from the W
eyl anomaly. We show that conformal symmetry can be made free from the qua
ntum anomaly only in the flat space. The presence of gravity would reduce
the global symmetry group of the fundamental theory to the scale invarianc
e only. We discuss how the effective Lagrangian respecting the scale symme
try can be used for the description of particle phenomenology and cosmolog
y.\n\nhttps://indico.math.cnrs.fr/event/6944/contributions/6744/
LOCATION:Tours
URL:https://indico.math.cnrs.fr/event/6944/contributions/6744/
END:VEVENT
END:VCALENDAR