On the hierarchy of symmetry breaking D-branes in group manifolds

TL;DR

This paper develops a geometric framework for symmetry breaking D-branes on group manifolds, linking algebraic and geometric approaches, and constructs new D-branes in specific backgrounds like SL(2,R) x SU(2).

Contribution

It introduces a boundary WZNW functional for symmetry breaking D-branes localized on twisted conjugacy classes, providing a geometric interpretation of recent algebraic formulations.

Findings

Constructed boundary WZNW functional for symmetry breaking D-branes.

Provided geometric interpretation for algebraic D-brane constructions.

Discovered new symmetry breaking D-branes in SL(2,R) x SU(2) background.

Abstract

We construct the boundary WZNW functional for symmetry breaking D-branes on a group manifold which are localized along a product of a number of twisted conjugacy classes and which preserve an action of an arbitrary continuous subgroup. These branes provide a geometric interpretation for the algebraic formulation of constructing D-branes developed recently in hep-th/0203161. We apply our results to obtain new symmetry breaking and non-factorizing D-branes in the background SL(2,R) x SU(2).