Non-Abelian T-duality for open strings

TL;DR

This paper explores non-Abelian T-duality for open strings, focusing on boundary conditions, gauging methods, and the construction of T-duals in models with non-Abelian symmetries, advancing understanding of string dualities.

Contribution

It extends T-duality concepts to open strings with non-Abelian isometries using gauging techniques, providing new insights into dual boundary conditions and string symmetries.

Findings

Dirichlet strings as T-duals of Neumann strings

Gauging method effectively constructs T-duals with non-Abelian symmetries

Boundary conditions are preserved under non-Abelian T-duality

Abstract

In the first part of the talk we discuss T-duality for a free boson on a world sheet with boundary in a setting suitable for the generalization to non-trivial backgrounds. The gauging method as well as the canonical transformation are considered. In both cases Dirichlet strings as T-duals of Neumann strings arise in a generic way. In the second part the gauging method is employed to construct the T-dual of a model with non-Abelian isometries.