T-duality Transformation of Gauged Linear Sigma Model with F-term

TL;DR

This paper develops duality transformation rules in two-dimensional superfield theories, including cases with F-terms, and applies them to gauged linear sigma models for five-branes and ALE spaces, confirming their interpretation as T-duality.

Contribution

It introduces duality transformation rules for chiral superfields with F-terms and applies them to specific gauged linear sigma models, extending the understanding of T-duality in these contexts.

Findings

Derived dual Lagrangians in superfield formalism.

Confirmed duality transformations as T-duality consistent with Buscher rule.

Extended duality rules to charged chiral superfields in specific models.

Abstract

We develop the duality transformation rules in two-dimensional theories in the superfield formalism. Even if the chiral superfield which we dualize involves an F-term, we can dualize it by virtue of the property of chiral superfields. We apply the duality transformation rule of the neutral chiral superfield to the ${\cal N}=(4,4)$ gauged linear sigma model for five-branes. We also investigate the duality transformation rule of the charged chiral superfield in the ${\cal N} = (4,4)$ gauged linear sigma model for the $A_1$-type ALE space. In both cases we obtain the dual Lagrangians in the superfield formalism. In the low energy limit we find that their duality transformations are interpreted as T-duality transformations consistent with the Buscher rule.