T-duality and Generalized Kahler Geometry

TL;DR

This paper explores T-duality in generalized Kahler geometries using N=(2,2) vector multiplets, providing a clearer understanding of dualities through gauging isometries and analyzing dual actions in superspace.

Contribution

It introduces a novel application of N=(2,2) vector multiplets to clarify T-duality procedures in generalized Kahler geometries, enhancing the theoretical framework.

Findings

Successfully derived dual actions in N=(2,2) and N=(1,1) superspace.

Clarified the role of vector multiplets in T-duality transformations.

Provided a systematic approach to gauge isometries in nonlinear sigma-models.

Abstract

We use newly discovered N = (2, 2) vector multiplets to clarify T-dualities for generalized Kahler geometries. Following the usual procedure, we gauge isometries of nonlinear sigma-models and introduce Lagrange multipliers that constrain the field-strengths of the gauge fields to vanish. Integrating out the Lagrange multipliers leads to the original action, whereas integrating out the vector multiplets gives the dual action. The description is given both in N = (2, 2) and N = (1, 1) superspace.