Torus partition functions and spectra of gauged linear sigma models

TL;DR

This paper uses supersymmetric localization to compute one-loop partition functions of (0,2) gauged linear sigma models, ensuring modular invariance and providing a method to determine the string spectrum.

Contribution

It introduces a novel approach to compute partition functions and spectra of (0,2) GLSMs, enhancing understanding of heterotic string compactifications.

Findings

Derived conditions for modular invariance of partition functions

Proposed a method to determine massless and massive spectra

Computed explicit one-loop partition functions for specific models

Abstract

Worldsheet (0,2) gauged linear sigma models are often used to study supersymmetric heterotic string compactifications with non-trivial vector bundles. We make use of supersymmetric localization techniques to determine their one-loop partition functions. In particular we derive conditions which ensure that the full partition function is modular invariant and we propose a method to determine the massless and massive target space matter spectrum.