On gauged linear sigma models with torsion

TL;DR

This paper explores a broad class of two-dimensional gauged linear sigma models with torsion, revealing their flow to generalized Kahler nonlinear sigma models and analyzing their geometric and quantum properties.

Contribution

It introduces new GLSMs with torsion using a novel constrained semichiral vector multiplet, expanding the understanding of their geometric structures and quantum anomalies.

Findings

Models realize noncompact geometries with torsion

Explicit example of generalized Kahler structure on the conifold

Discussion of classical and quantum properties of these models

Abstract

We study a broad class of two dimensional gauged linear sigma models (GLSMs) with off-shell N=(2,2) supersymmetry that flow to nonlinear sigma models (NLSMs) on noncompact geometries with torsion. These models arise from coupling chiral, twisted chiral, and semichiral multiplets to known as well as to a new N=(2,2) vector multiplet, the constrained semichiral vector multiplet (CSVM). We discuss three kinds of models, corresponding to torsionful deformations of standard GLSMs realizing Kahler, hyperkahler, and Calabi-Yau manifolds. The (2,2) supersymmetry guarantees that these spaces are generalized Kahler. Our analysis of the geometric structure is performed at the classical level, but we also discuss quantum aspects such as R-symmetry anomalies. We provide an explicit example of a generalized Kahler structure on the conifold.