Elliptic Genera of 2d $\mathcal{N}=(0,1)$ Gauge Theories

TL;DR

This paper derives an exact residue formula for elliptic genera of 2d N=(0,1) gauge theories, introducing a new residue prescription that generalizes previous methods and analyzing specific models.

Contribution

It presents a novel residue formula for elliptic genera in N=(0,1) theories and extends the Jeffery-Kirwan residue prescription to this context.

Findings

Derived an exact residue formula for elliptic genera.

Introduced a new residue prescription generalizing previous methods.

Analyzed the phase structure of the Gukov-Pei-Putrov model.

Abstract

We derive an exact residue formula for the elliptic genera of 2d $\mathcal{N}=(0,1)$ gauge theories. We find a new residue prescription which recovers the Jeffery-Kirwan residue prescription for $\mathcal{N}=(0,2)$ theories. We apply the formula to the Gukov-Pei-Putrov model and analyze the phase structure of the theory.