D-branes on group manifolds and fusion rings

TL;DR

This paper calculates the charge group for symmetry-preserving D-branes on all simple, simply-connected compact Lie group manifolds, advancing understanding of D-brane charges in string theory.

Contribution

It provides a comprehensive computation of the charge group for D-branes on all simple, simply-connected compact Lie groups, filling a gap in the theoretical understanding.

Findings

Charge group computed for all simple, simply-connected compact Lie groups.

Results clarify the structure of D-brane charges on group manifolds.

Enhances the theoretical framework of D-branes in string theory.

Abstract

In this paper we compute the charge group for symmetry preserving D-branes on group manifolds for all simple, simply-connected, connected compact Lie groups G.