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SUMMARY:N=(0\, 2) Deformation of (2\, 2) Sigma Models: Geometric Structure
\, Holomorphic Anomaly and Exact Beta Functions
DTSTART;VALUE=DATE-TIME:20140620T084500Z
DTEND;VALUE=DATE-TIME:20140620T094500Z
DTSTAMP;VALUE=DATE-TIME:20210413T154128Z
UID:indico-event-459@indico.math.cnrs.fr
DESCRIPTION:We study N=(0\,2) deformed (2\,2) two-dimensional sigma models
. Such heterotic models were discovered previously on the world sheet of n
on-Abelian strings supported by certain four-dimensional N=1 theories. We
study geometric aspects and holomorphic properties of these models\, and d
erive a number of exact expressions for the beta functions in terms of the
anomalous dimensions analogous to the NSVZ beta function in four-dimensio
nal Yang-Mills. Instanton calculus provides a straightforward method for t
he derivation. \n\nWe prove that despite the chiral nature of the model an
omalies in the isometry currents do not appear for CP(N-1) at any N. This
is in contradistinction with the minimal heterotic model (with no right-mo
ving fermions) which is anomaly-free only for N=2\, i.e. in CP(1). We also
consider the N=(0\,2) supercurrent supermultiplet (the so-called hypercur
rent) and its anomalies\, as well as the "Konishi anomaly." This gives us
another method for finding exact β functions. \n\nA clear–cut parallel
between N=1 4D Yang-Mills and N=(0\,2) 2D sigma models is revealed.\n\nhtt
ps://indico.math.cnrs.fr/event/459/
LOCATION:IHES Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/459/
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