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

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.