Level-rank duality of D-branes on the SU(N) group manifold
arXiv:hep-th/0511083 · doi:10.1016/j.nuclphysb.2006.01.041
Abstract
The consequences of level-rank duality for untwisted D-branes on an SU(N) group manifold are explored. Relations are found between the charges of D-branes (which are classified by twisted K-theory) belonging to su(N)_K and su(K)_N WZW theories, in the case of odd N+K. An isomorphism between the charge algebras is also demonstrated in this case.
15 pages. v2 and v3: references added. v4: proof clarified and minor typos fixed
References in corpus (7)
- Twisted K-theory and loop group representations
- K-Theory from a physical perspective
- Generalised permutation branes
- Twisted K-theory and loop groups
- D-branes in N=2 coset models and twisted equivariant K-theory
- Charges of twisted branes: the exceptional cases
- Level-rank duality of untwisted and twisted D-branes
Cited by in corpus (7)
- Group dualities, T-dualities, and twisted K-theory
- Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
- Level-rank duality of untwisted and twisted D-branes
- Topological Rényi and Entanglement Entropy for a 2d q-deformed Yang-Mills theory and its Chern-Simons dual
- Twisted D-branes of the SU(N)_K WZW model and level-rank duality
- Level-rank duality of untwisted and twisted D-branes of the so(N)_K WZW model
- Topological phase, spin Chern-Simons theory and level rank duality on lens space