Supersymmetric Quantum Field Theories and the Swampland

• Cumrun VAFA (Harvard University)

Room: Marilyn and James Simons Conference Center

Anomalies, Inflow and Holography

• Ruben MINASIAN (IPhT - CEA Saclay)

Room: Marilyn and James Simons Conference Center I will review the M5 anomalies in M-theory and their cancellation mechanism, and discuss its implications for the lower-dimensional super conformal field theories.

Conformal Properties of the Self-Dual YM Theory

• Alexey ROSLY (ITEP, Skoltech, HSE, IITP, Moscow)

Room: Marilyn and James Simons Conference Center I would like to promote the Self-Dual Yang Mills Theory as a possibly simplest non-linear conformal field theory in 4d with no supersymmetry. This field theory possesses UV divergences, but these do not spoil the conformal covariance: the effect of renormalization is that the coupling constant does not run, it is only a field renormalization which is needed. This results in a conformal invariance of the effective action under anomalous conformal transformations. I can give only a partial, but hopefully convincing proof of the latter. If the time permits I will also discuss the issue of conformal observables in this theory in relation with twistor geometry.

Diagonal Matrix Elements for the Sinh-Gordon Model in Finite Volume

• Fedor SMIRNOV (LPTHE - Sorbonne Université)

Room: Marilyn and James Simons Conference Center Sinh-Gordon model is the simplest integrable model of QFT which is interesting, in particular, due to its relation to the Liouville model. In this talk I shall present hypothetical formulae for the diagonal matrix elements. The stress will be put on the UV limit and its relation to the Liouville three points functions.

Conformal Fishnet Theory

• Vladimir KAZAKOV (ENS-Paris)

Room: Marilyn and James Simons Conference Center I will review the properties and recent results for conformal fishnet theory (FCFT) which was proposed by O. Gurdogan and myself as a special double scaling limit of gamma-twisted N=4 SYM theory. FCFT, in its simplest, bi-scalar version, is a UV finite strongly coupled 4-dimensional logarithmic CFT dominated by planar fishnet Feynman graphs (of the shape of regular square lattice). FCFT inherits the planar integrability of N=4 SYM which becomes manifest in this case: the fishnet graphs can be mapped on the SO(2,4) integrable spin chain (A. Zamolodchikov, 1980). The D-dimensional generalization of FCFT, with SO(2,D) conformal symmetry can be also provided. A remarkable property of FCFT is the possibility of spontaneous symmetry breaking, which is not lifted by quantum corrections. I will also discuss the exact computation of certain anomalous dimensions and 4-point correlators, and of related fishnet Feynman graphs (of "wheel" or "spiral" type), using the quantum integrability tools: asymptotic and thermodynamic Bethe ansatz and quantum spectral curve.

Degeneration, Geometry and Duality

• Chris HULL (Imperial College London)

Room: Marilyn and James Simons Conference Center

Mathieu Moonshine: Symmetry Surfing and Quarter BPS States at the Kummer Point

• Anne TAORMINA (Durham University)

Room: Marilyn and James Simons Conference Center The elliptic genus of K3 surfaces encrypts an intriguing connection between the sporadic group Mathieu 24 and non-linear sigma models on K3, dubbed “Mathieu Moonshine”. By restricting to Kummer K3 surfaces, which may be constructed as Z2 orbifolds of complex 2-tori with blown up singularities, it has been possible to devise a framework in which the concept of symmetry surfing can be explored and tested in a concrete way. This talk focusses on what has been learned so far that supports the symmetry surfing idea when lifting the Kummer construction to the level of conformal field theory, with particular emphasis on quarter BPS states. Some of these states enter the elliptic genus with opposite signs thus cancelling each other when counted by this index, yet they carry interesting information that should help understand Mathieu Moonshine.

Fokker-Planck Operators and the Center of the Enveloping Algebra

• Jean-Michel BISMUT (Université Paris-Sud Orsay)

Room: Marilyn and James Simons Conference Center The heat equation method in index theory gives an explicit local formula for the index of a Dirac operator. Its Lagrangian counterpart involves supersymmetric path integrals. Similar methods can be developed to give a geometric formula for semi simple orbital integrals associated with the Casimir operator of a reductive group, this computation being related to Selberg's trace formula. The analogue of the heat equation method is now a suitable deformation of the Laplacian by a family of Fokker-Planck operators. In joint work with Shu SHEN, we have also shown how to extend these formulas to orbital integrals involving general elements of the center of the enveloping algebra.

Integrability, Theory Space, and My Debt To Samson Shatashvili

• Simeon HELLERMAN (IPMU)

Room: Marilyn and James Simons Conference Center

Generalized Beltrami-Bernoulli Flow Model for Astrophysical Disk-Jet Structure Formation

• Nana SHATASHVILI (Tbilisi State University, Georgia)

Room: Marilyn and James Simons Conference Center In the vicinity of a massive object of various scales (ranging from young stars to galactic nuclei), mass flow creates a spectacular structure combining a thin disk and collimated jet. Despite a wide range of scaling parameters, they exhibit a remarkable similarity that must be dictated by a universal principle. A generalized Beltrami condition has been formulated as a succinct representation of such a principle. The singularity at the center of the Keplerian rotation forces the flow to align with the “generalized vorticity” (including the effect of localized density and finite dissipation) which appears as an axle penetrating the disk – hence, the collimated jet is a Beltrami flow. An analytical expression of a disk-jet system has been constructed. Employing the Beltrami-Bernoulli flow configuration of disk-jet structure we apply our model for the analytic description of hydrodynamic jets from protostellar disks. For this purpose, we extend the standard turbulent viscosity prescription and derive several classes of analytic solutions using the flow parametrization in self-similar variables. Derived solutions describe the disk-jet structure, where, for the first time, jet properties are analytically linked with the properties of the accretion disk flow. These solutions can be used to analyze the astrophysical jets from protostellar accretion disks and link the properties of outflows with the local observational properties of accretion disk flows.

Title to be confirmed

• Erik VERLINDE (Univerteit van Amsterdam)

Room: Marilyn and James Simons Conference Center

Coupling Holographic Universes

• Costas BACHAS (ENS-Paris)

Room: Marilyn and James Simons Conference Center I will discuss some recent progress on interacting-graviton theories in the context of the AdS/CFT correspondence.

New Results and Applications

• Zohar KOMARGODSKI (SCGP)

Room: Marilyn and James Simons Conference Center I will review the concept of anomalies and its relationship with Symmetry Protected Topological Phases. I will also review various extensions of the concept of ‘’symmetry.’’ I will present applications to Yang-Mills theories in 2, 3 and 4 dimensions. These applications feature two extensions of the concept of symmetry: one is higher-symmetry and the other is "non-symmetry" topological defects.

CFT and Black Holes

• Manuela KULAXIZI (Trinity College Dublin)

Room: Marilyn and James Simons Conference Center We will review progress in studying CFTs with a large number of degrees of freedom, and discuss how we can use it to learn something about gravity and black holes.

Space Time Actions from The World Line

• Ivo SACHS (MLU Munich)

Room: Marilyn and James Simons Conference Center I will describe how the full non-linear equations of motion for all massless NS-sector fields of the string arise from world line quantization of the spinning particle. Somewhat surprisingly this includes the dilation which is often thought to be stringy in nature.

Integrable QM Operators from Mirror Curves

• Leon TAKHTAJAN (Stony Brook University)

Room: Marilyn and James Simons Conference Center

Reflection Operators in Integrable CFT

• Sergei LUKYANOV (Rutgers University)

Room: Marilyn and James Simons Conference Center The reflection operators are one of the simplest examples of the non-local integrals of motion in an integrable 2D CFT. They have many interesting applications, including for the description of the UV behavior of massive integrable perturbations of the CFT. In this talk, we’ll discuss the reflection operator in the context of the integrable structure that appears in the study of the quantum KdV theory. This operator is closely related to the Liouville reflection S-matrix. Briefly mentioned will be a new result concerning the full spectrum of this reflection operator, which was obtained recently within the framework of the ODE/IQFT correspondence.

Field Theory for Massive Gravity and Cosmology

• Gregory GABADADZE (New York University)

Room: Marilyn and James Simons Conference Center I will review the status of the theory of massive gravity, and will briefly discuss its applications in cosmology.

QCD: Numerical Integration of a Quantum Field Theory

• Sinéad RYAN (Trinity College Dublin)

Room: Marilyn and James Simons Conference Center At hadronic energy scales, quantum chromodynamics (QCD) requires a nonperturbative treatment to calculate physical observables. Lattice QCD is a nonperturbative framework that facilitates numerical simulation of the theory and is the only known systematically-improvable approach to calculate phenomenological relevant QCD parameters. I will discuss the lattice as a regulator for QCD, describe the current state-of-the-art and offer some perspectives for future directions.

New Dualities from Anomalies, and New Anomalies from Dualities

• Sergei GUKOV (Caltech)

Room: Marilyn and James Simons Conference Center

Lattice Nonlinear Schroedinger Equation

• Vladimir KOREPIN (Stony Brook University)

Room: Marilyn and James Simons Conference Center

Mirror Symmetry and Feynman Integrals

• Pierre VANHOVE (IPhT - CEA Saclay)

Room: Marilyn and James Simons Conference Center

Multiplicative Higgs Bundles

• Vasily PESTUN (IHES)

Room: Marilyn and James Simons Conference Center In this talk we'll establish the symplectic isomorphism between symplectic varieties obtained as (i) the symplectic leaves in the rational Poisson Lie group equipped with Sklyanin's Poisson structure, (ii) the moduli space of multiplicative Higgs bundles on P1 and (iii) the moduli space of periodic monopoles on R2xS1.