Twisted K-Theory of Lie Groups
arXiv:hep-th/0305178 · doi:10.1088/1126-6708/2004/03/029
Abstract
I determine the twisted K-theory of all compact simply connected simple Lie groups. The computation reduces via the Freed-Hopkins-Teleman theorem to the CFT prescription, and thus explains why it gives the correct result. Finally I analyze the exceptions noted by Bouwknegt et al.
16 pages
References in corpus (6)
Cited by in corpus (25)
- Loop Operators and the Kondo Problem
- Abelian and non-Abelian branes in WZW models and gerbes
- Generalised permutation branes
- D-brane charges on non-simply connected groups
- M/F-Theory as Mf-Theory
- The coset D-branes of SU(n)
- Quantization of Wilson loops in Wess-Zumino-Witten models
- Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
- The D-branes of SU(n)
- Charges of Exceptionally Twisted Branes
- Group dualities, T-dualities, and twisted K-theory
- Families index theorem in supersymmetric WZW model and twisted K-theory: The SU(2) case
- A Note on the Equality of Algebraic and Geometric D-Brane Charges in WZW Models
- Charges of twisted branes: the exceptional cases
- Twisted brane charges for non-simply connected groups
- Level-rank duality of untwisted and twisted D-branes
- Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence
- Level-rank duality of D-branes on the SU(N) group manifold
- Twisted K-theory, K-homology and bivariant Chern-Connes type character of some infinite dimensional spaces
- Twisted Morava K-theory and connective covers of Lie groups
- Kondo flow invariants, twisted K-theory and Ramond-Ramond charges
- Twisted D-branes of the SU(N)_K WZW model and level-rank duality
- A new approach to twisted K-theory of compact Lie groups
- Twisted WZW Branes from Twisted REA's
- Adams operations on twisted -theory of compact Lie groups