D-branes in asymmetrically gauged WZW models and axial-vector duality

TL;DR

This paper constructs D-branes in asymmetrically gauged WZW models, explores their boundary conditions, and demonstrates how T-duality and orbifolding produce stable B-branes with gauge fields, advancing understanding of brane dualities.

Contribution

It introduces a method to construct and analyze D-branes in asymmetrically gauged WZW models, including the effects of T-duality and orbifolding on brane configurations.

Findings

D-branes in asymmetrically gauged WZW models are explicitly constructed.

T-duality relates axial and vector gaugings, producing orbifold theories.

Gauge fields on B-branes stabilize the D-branes.

Abstract

We construct D-branes in a left-right asymmetrically gauged WZW model, with the gauge subgroup embedded differently on the left and the right of the group element. The symmetry-preserving boundary conditions for the group-valued field $g$ are described, and the corresponding action is found. When the subgroup $H=U(1)$, we can implement T-duality on the axially gauged WZW action; an orbifold of the vectorially gauged theory is produced. For the parafermion $SU(2)/U(1)$ coset model, a $\sigma$-model is obtained with vanishing gauge field on D-branes. We show that a boundary condition surviving from the SU(2) parent theory characterizes D-branes in the parafermion theory, determining the shape of A-branes. The gauge field on B-branes is obtained from the boundary condition for A-branes, by the orbifold construction and T-duality. These gauge fields stabilize the B-branes.