Twisted D-branes of the SU(N)_K WZW model and level-rank duality
arXiv:hep-th/0606147 · doi:10.1016/j.nuclphysb.2006.08.005
Abstract
We analyze the level-rank duality of omega_c-twisted D-branes of SU(N)_K (when N and K>2). When N or K is even, the duality map involves Z_2-cominimal equivalence classes of twisted D-branes. We prove the duality of the spectrum of an open string stretched between omega_c-twisted D-branes, and ascertain the relation between the charges of level-rank-dual omega_c-twisted D-branes.
arXiv comment24 pages. v2: reference added
References in corpus (56)
- D-branes in the WZW model
- Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
- D-Brane Instantons and K-Theory Charges
- Boundary Conditions in Rational Conformal Field Theories
- Brane Dynamics in Background Fluxes and Non-commutative Geometry
- D-branes, B-fields and twisted K-theory
- Flux Stabilization of D-branes
- Geometrical interpretation of D-branes in gauged WZW models
- WZW branes and gerbes
- Open Strings and D-branes in WZNW model
- Symmetry breaking boundaries I. General theory
- D-branes in group manifolds
- From Dynkin diagram symmetries to fixed point structures
- The geometry of WZW branes
- On the Classification of Bulk and Boundary Conformal Field Theories
- Conformal field theory: a case study
- Twisted K-theory and loop group representations
- Branes on Group Manifolds, Gluon Condensates, and twisted K-theory
- Lectures on Branes in Curved Backgrounds
- Symmetry Breaking Boundary States and Defect Lines
- D2-branes in B fields
- D-brane charge, flux quantisation and relative (co)homology
- Boundary states for WZW models
- Boundary WZW, G/H, G/G and CS theories
- RR charges of D2-branes in the WZW model
- The Verlinde algebra is twisted equivariant K-theory
- On the hierarchy of symmetry breaking D-branes in group manifolds
- Non-commutative gauge theory of twisted D-branes
- Generalised permutation branes
- Open Strings and Non-commutative Geometry of Branes on Group Manifolds
- Boundary states in coset conformal field theories
- Twisted K-theory and loop groups
- D-brane charges on non-simply connected groups
- A note on D-branes in group manifolds: flux quantisation and D0-charge
- SU(2) WZW D-branes and their non-commutative geometry from DBI action
- D-branes on group manifolds and fusion rings
- Twisted K-Theory of Lie Groups
- The charges of a twisted brane
- An illustrated guide to D-branes in SU(3)
- On the Twisted K-Homology of Simple Lie Groups
- Boundary conditions in charge conjugate sl(N) WZW theories
- The coset D-branes of SU(n)
- Novel construction of boundary states in coset conformal field theories
- Twisted boundary states and representation of generalized fusion algebra
- D-branes in N=2 coset models and twisted equivariant K-theory
- The D-branes of SU(n)
- Charges of Exceptionally Twisted Branes
- Presentations of Wess-Zumino-Witten Fusion Rings
- D-brane charges on SO(3)
- Branching rules of semi-simple Lie algebras using affine extensions
- A Note on the Equality of Algebraic and Geometric D-Brane Charges in WZW Models
- Twisted boundary states in c=1 coset conformal field theories
- Charges of twisted branes: the exceptional cases
- Level-rank duality of untwisted and twisted D-branes
- Level-rank duality of D-branes on the SU(N) group manifold
- Twisted boundary states in Kazama-Suzuki models