D-Branes in Coset Models

TL;DR

This paper develops a reduction method to construct non-commutative gauge theories for D-branes in coset models, providing solutions, geometric interpretations, and conservation laws, with applications to parafermions and minimal models.

Contribution

It introduces a new reduction procedure for D-branes in coset models and explores their gauge theories, solutions, and conservation laws, extending previous work in WZW-theory.

Findings

Constructed a class of solutions for brane dynamics.

Proposed geometric interpretation of condensation processes.

Identified conservation laws and charge values in super-symmetric models.

Abstract

The analysis of D-branes in coset models G/H provides a natural extension of recent studies on branes in WZW-theory and it has various interesting applications to physically relevant models. In this work we develop a reduction procedure that allows to construct the non-commutative gauge theories which govern the dynamics of branes in G/H. We obtain a large class of solutions and interprete the associated condensation processes geometrically. The latter are used to propose conservation laws for the dynamics of branes in coset models at large level k. In super-symmetric theories, conserved charges are argued to take their values in the representation ring of the denominator theory. Finally, we apply the general results to study boundary fixed points in two examples, namely for parafermions and minimal models.