The Large Vector Multiplet and Gauging $(2,2)$ $\sigma$-models

TL;DR

This paper explores the Large Vector Multiplet (LVM) in gauging isometries of (2,2) sigma models, revealing a new gauge multiplet as a constrained dual of the LVM, leading to a beta-gamma system interaction.

Contribution

It identifies a new gauge multiplet as a constrained or dual version of the LVM, expanding the understanding of gauging in (2,2) sigma models.

Findings

The new gauge multiplet is a constrained or dual form of the LVM.

Gauging with this multiplet produces a beta-gamma system interacting with a sigma model.

The LVM is relevant for gauging isometries on chiral and twisted chiral fields.

Abstract

The Large Vector Multiple (LVM) is the relevant gauge multiplet for gauging isometries acting on both the chiral and the twisted chiral fields in a $(2, 2)$ sigma model. Here we show that a recently proposed new gauge multiplet is a constrained or partially dualized version of the LVM. Gauging using this multiplet results in a $(2, 2)$ $\beta\gamma$ system interacting with a sigma model.