Comments on D-branes on general group manifolds

TL;DR

This paper studies symmetric D-branes on general group manifolds, demonstrating how boundary states evolve with Wilson lines in the large level limit and confirming the spectrum matches boundary CFT predictions.

Contribution

It extends the understanding of D-branes on general group manifolds, showing boundary state transformations and spectrum agreement in the large $k$ limit.

Findings

Boundary states with Wilson lines relate different D-brane types at large $k$

Fluctuation spectra match boundary CFT results in the large $k$ limit

Extension of SU(2) results to general group manifolds

Abstract

We investigate D-branes with maximal symmetry on general group manifolds in terms of boundary states and effective actions. We show that in large $k$ limit boundary states with an suitable Wilson line form boundary states of the other types of D-branes, extending the known fact in SU(2) case. We also show that fluctuation mass spectrum around D-brane solutions of the effective action agrees with that of boundary CFT in large $k$ limit.