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Automorphic forms and their applications
December 11, 2017 18:00–20:00, Moscow
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Seiberg duality and superconformal indices
V. P. Spiridonovab a Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
b National Research University "Higher School of Economics" (HSE), Moscow
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Abstract:
Seiberg duality (suggested in 1994) - this is an "electric-magnetic" duality of
two or several four-dimensional N=1 supersymmetric quantum field theories with
non-abelian gauge fields, which are conjecturally equivalent to each other in the
strong coupling limit (in the superconformal critical point). Superconformal indices
were suggested in 2005 as generating functions enumerating BPS states for such
field theories. It appeared that these indices coincide with the elliptic hypergeometric
integrals constructed by the speaker in 2000. Equalities of such indices, which are
established using the "hypergeometric" methods, prove the equivalence of dual
theories in the BPS states sector. The talk will be a survey of these facts.
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