Seiberg dualities and the 3d/4d connection

Abstract

We discuss the degeneration limits of d=4 superconformal indices that relate Seiberg duality for the d=4 N=1 SQCD theory to Aharony and Giveon-Kutasov dualities for d=3 N=2 SQCD theories. On a mathematical level we argue that this 3d/4d connection entails a new set of non-standard degeneration identities between hyperbolic hypergeometric integrals. On a physical level we propose that such degeneration formulae provide a new route to the still illusive Seiberg dualities for d=3 N=2 SQCD theories with SU(N) gauge group.

harvmac, 17 pages

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• Notes on SUSY Gauge Theories on Three-Sphere
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• Seiberg Duality in Chern-Simons Theory
• Essays on the theory of elliptic hypergeometric functions
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