D-branes in N=2 WZW models

TL;DR

This paper reviews the construction of N=2 WZW models using Manin triples and analyzes the conditions for D-branes to preserve half of the bulk supersymmetry, identifying A- and B-type branes with algebraic interpretations.

Contribution

It introduces a framework for understanding D-branes in N=2 WZW models through Manin triples and clarifies the algebraic nature of A- and B-type branes.

Findings

Identification of conditions for supersymmetry-preserving gluing of affine currents

Classification of D-branes into A- and B-types with algebraic interpretation

Extension of Kahler case concepts to N=2 WZW models

Abstract

We briefly review the construction of N=2 WZW models in terms of Manin triples. We analyse the restrictions which should be imposed on the gluing conditions of the affine currents in order to preserve half of the bulk supersymmetry. In analogy with the Kahler case there are two types of D-branes, A- and B-types which have a nice algebraic interpretation in terms of the Manin triple.