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Workshop on Classical and Quantum Integrable Systems
13 июля 2016 г., г. Санкт-Петербург
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Superconformal indices and integrable systems
V. P. Spiridonov Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
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Аннотация:
Seiberg duality (1995) assumes an equivalence of certain 4d N=1 supersymmetrie nonabelian
gauge field theories. Superconformal indices of such theories (2006) are described by elliptic
hypergeometrie integrals introduced by the speaker in 2000. Symmetry transformations of these
integrals give rigorous confirmations of the duality hypotheses. Many of such symmetries are
found from the Bailey lemma yielding the star-triangle relation. The latter leads to solutions
of the Yang-Baxter equation in terms of the integral operators with elliptic hypergeometrie
kernels and relates the Seiberg duality to integrability of 2d lattice systems.
Язык доклада: английский
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