Superconformal indices, Seiberg dualities and special functions

TL;DR

This paper explores the connections between special functions, superconformal indices, and Seiberg dualities in four-dimensional $ ext{N}=1$ supersymmetric gauge theories, highlighting mathematical-physical relationships.

Contribution

It establishes links between special functions and superconformal indices, providing new insights into Seiberg dualities in supersymmetric gauge theories.

Findings

Identifies mathematical structures underlying superconformal indices.

Shows how special functions encode dualities in gauge theories.

Provides a framework connecting special functions with physical dualities.

Abstract

This is a brief account of relations between the theory of special functions, on the one side, and superconformal indices and Seiberg dualities of four-dimensional $\mathcal{N}=1$ supersymmetric gauge field theories, on the other side.