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A bstract The analytic properties of the\(\mathcal {N}= 2\) superconformal index are given a
physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of …

We study the superconformal index for the class of\(\mathcal {N}= 2\) 4d superconformal field
theories recently introduced by Gaiotto [1]. These theories are defined by compactifying the …

A bstract We conjecture that for superconformal field theories in even dimensions, the
supersymmetric Casimir energy on a space with topology S 1× SD− 1 is equal to an …

We give a full list of known N= 1 supersymmetric quantum field theories related by the
Seiberg electric-magnetic duality conjectures for SU (N), SP (2 N) and G 2 gauge groups …

Integrable models of statistical mechanics play a prominent role in modern mathematical
physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In this …

An exact formula for partition functions in 3d field theories was recently suggested by
Jafferis, and Hama, Hosomichi, and Lee. These functions are expressed in terms of specific …

A bstract We investigate superconformal surface defects in four-dimensional\(\mathcal {N}=
2\) superconformal theories. Each such defect gives rise to a module of the associated chiral …

We derive an integral representation for the superconformal index of the strongly-
coupled\(\mathcal {N}= 2\) superconformal field theory with E 6 flavor symmetry. The explicit …

Abstract Recently, Kim, and Imamura and Yokoyama derived an exact formula for
superconformal indices in three-dimensional field theories. Using their results, we prove …