Vanishing superconformal indices and the chiral symmetry breaking
Abstract
Superconformal indices of 4d =1 SYM theories with SU(N) and SP(2N) gauge groups are investigated for Nf=N and Nf=N+1 flavors, respectively. These indices vanish for generic values of the flavor fugacities. However, for a singular submanifold of fugacities they behave like the Dirac delta functions and describe the chiral symmetry breaking phenomenon. Similar picture holds for partition functions of 3d supersymmetric field theories with the chiral symmetry breaking.
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