A quantum algebraic description of D-branes on group manifolds

TL;DR

This paper introduces an algebraic framework using quantum algebras to describe D-branes on compact group manifolds, capturing their configurations, energies, and harmonic spectra within WZW models.

Contribution

It provides a novel algebraic approach based on quantum groups to model D-branes, encompassing both generic and degenerate cases, aligning with known physical characteristics.

Findings

Reproduces stable brane configurations in group manifolds

Accurately models energies and harmonic spectra of D-branes

Applies to both generic and degenerate branes

Abstract

We propose an algebraic description of (untwisted) D-branes on compact group manifolds $G$ using quantum algebras related to $U_q(\mg)$. It reproduces the known characteristics of stable branes in the WZW models, in particular their configurations in $G$, energies as well as the set of harmonics. Both generic and degenerate branes are covered.