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This is a brief survey of the main results of the theory of elliptic hypergeometric functions--a
new class of special functions of mathematical physics. A proof is given of the most general …

It has been remarked that a fair measure of the impact of Atle Selberg's work is the number
of mathematical terms that bear his name. One of these is the Selberg integral, an $ n …

The results of Römelsberger for an N= 1 superconformal index counting protected operators,
satisfying a BPS condition and which cannot be combined to form long multiplets, are …

A bstract We study superconformal and supersymmetric theories on Euclidean four-and
three-manifolds with a view toward holographic applications. Preserved supersymmetry for …

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 …

We prove a pair of transformations relating elliptic hypergeometric integrals of different
dimensions, corresponding to the root systems BC n and A n; as a special case, we recover …

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 …

We discuss compactifications of rank $ Q $ E-string theory on a torus with fluxes for abelian
subgroups of the $ E_8 $ global symmetry of the $6 d $ SCFT. We argue that the theories …

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 …