Interpreting multiple dualities conjectured from superconformal index identities

TL;DR

This paper investigates multiple Seiberg dualities in SU(2) supersymmetric QCD through superconformal index identities, revealing that various conjectured duals are different manifestations of a few master theories, supporting index matching but not discovering new dualities.

Contribution

It demonstrates that multiple dual theories are different faces of a limited set of master theories and constructs superpotentials for some of these theories.

Findings

All index identities correspond to theories flowing to the same IR fixed point.

Different duals are inequivalent in a peculiar sense.

No entirely new dualities are implied by the index identities.

Abstract

We consider field theory side of new multiple Seiberg dualities conjectured within superconformal index matching approach. We study the case of SU(2) supersymmetric QCD and find that the numerous conjectured duals are different faces of handful of master theories. These different faces are inequivalent to each other in a very peculiar sense. Some master theories are fully known; we construct superpotentials for others. We confirm that all index identities correspond to theories flowing to one and the same theory in the infrared, thus supporting the conjecture of index matching for Seiberg dual theories. However, none of the index identities considered in this paper actually implies an entirely new, unknown duality.