Trace Relations in Deformed Gauge Theories

TL;DR

This paper derives trace relations for chiral ring elements in deformed N=2* gauge theories with SU(N) groups by analyzing qq-characters, providing insights into the algebraic structure under deformation.

Contribution

It introduces a method to compute trace relations in fully Omega-deformed N=2* gauge theories using qq-characters, advancing understanding of their algebraic properties.

Findings

Derived explicit trace relations for chiral ring elements.

Established a connection between qq-characters and regularity conditions.

Enhanced the algebraic understanding of deformed gauge theories.

Abstract

We compute trace relations governing chiral ring elements of fully $\Omega$-deformed N = 2* gauge theories with SU(N) gauge groups by demanding the regularity of the fundamental qq-character.