T-duality for the sigma model with boundaries

TL;DR

This paper derives boundary conditions compatible with T-duality and superconformal invariance in N=1 supersymmetric sigma models with boundaries, using a gauge-invariant approach and analyzing D-brane implications.

Contribution

It provides the most general local boundary conditions for T-duality in supersymmetric sigma models with boundaries, including a gauge-invariant parent action construction.

Findings

Boundary conditions compatible with T-duality and superconformal invariance are derived.

The behavior of boundary conditions under T-duality is analyzed.

Results are interpreted in terms of D-branes.

Abstract

We derive the most general local boundary conditions necessary for T-duality to be compatible with superconformal invariance of the two-dimensional N=1 supersymmetric nonlinear sigma model with boundaries. To this end, we construct a consistent gauge invariant parent action by gauging a U(1) isometry, with and without boundary interactions. We investigate the behaviour of the boundary conditions under T-duality, and interpret the results in terms of D-branes.