Geometrical interpretation of D-branes in gauged WZW models

TL;DR

This paper introduces a geometric approach to constructing D-branes in gauged WZW models and their orbifolds, revealing new types not covered by traditional rational conformal field theory methods.

Contribution

It presents a novel geometric interpretation of D-branes in gauged WZW models, expanding the understanding beyond standard Cardy construction.

Findings

D-branes in gauged WZW models have natural geometric interpretations.

New classes of D-branes are identified that are not included in the standard Cardy framework.

The relation to T-duality links these D-branes to A-branes and B-branes in N=2 theories.

Abstract

We show that one can construct D-branes in parafermionic and WZW theories (and their orbifolds) which have very natural geometrical interpretations, and yet are not automatically included in the standard Cardy construction of D-branes in rational conformal field theory. The relation between these theories and their T-dual description leads to an analogy between these D-branes and the familiar A-branes and B-branes of N=2 theories.