A Note on the Equality of Algebraic and Geometric D-Brane Charges in WZW Models
arXiv:hep-th/0312259 · doi:10.1088/1126-6708/2004/05/029
Abstract
The algebraic definition of charges for symmetry-preserving D-branes in Wess-Zumino-Witten models is shown to coincide with the geometric definition, for all simple Lie groups. The charge group for such branes is computed from the ambiguities inherent in the geometric definition.
12 pages, fixed typos, added references and a couple of remarks
References in corpus (7)
- D-Brane Instantons and K-Theory Charges
- Twisted K-theory and loop group representations
- Branes on Group Manifolds, Gluon Condensates, and twisted K-theory
- The Verlinde algebra is twisted equivariant K-theory
- D-branes on group manifolds and fusion rings
- The charges of a twisted brane
- Twisted K-Theory of Lie Groups
Cited by in corpus (6)
- Abelian and non-Abelian branes in WZW models and gerbes
- Level-rank duality of untwisted and twisted D-branes
- Level-rank duality of D-branes on the SU(N) group manifold
- Twisted D-branes of the SU(N)_K WZW model and level-rank duality
- A mathematical formalism for the Kondo effect in WZW branes
- Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model