1205.2086 (Vasilis Niarchos)

Seiberg dualities and the 3d/4d connection    [PDF]

Vasilis Niarchos

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.

View original: http://arxiv.org/abs/1205.2086