Superconformal indices of N=1 field theories and elliptic hypergeometric integrals
by V.P. Spiridonov
Abstract: After a brief introduction to the theory of elliptic hypergeometric functions, we outline recent interpretation of some of elliptic hypergeometric integrals as topological indices in four dimensional N=1 supersymmetric field theories. Coincidence of superconformal indices in Seiberg dual theories corresponds to nontrivial identities for integrals. Analysing such relations, from known dual field theories we conjecture many new relations for integrals, and from some of known integral identities, we come to new dual field theories. This is a joint work with G.S. Vartanov.
For More Information: Contact: Nicholas Simon Witte N.Witte@ms.unimelb.edu.au