Level-rank duality of untwisted and twisted D-branes
arXiv:hep-th/0601175 · doi:10.1016/j.nuclphysb.2006.03.006
Abstract
Level-rank duality of untwisted and twisted D-branes of WZW models is explored. We derive the relation between D0-brane charges of level-rank dual untwisted D-branes of su(N)_K and sp(n)_k, and of level-rank dual twisted D-branes of su(2n+1)_2k+1. The analysis of level-rank duality of twisted D-branes of su(2n+1)_2k+1 is facilitated by their close relation to untwisted D-branes of sp(n)_k. We also demonstrate level-rank duality of the spectrum of an open string stretched between untwisted or twisted D-branes in each of these cases.
arXiv comment20 pages. v2: minor clarification and added references
References in corpus (58)
- D-Branes And K-Theory
- K-theory and Ramond-Ramond charge
- 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
- Brane Dynamics in Background Fluxes and Non-commutative Geometry
- Boundary Conditions in Rational Conformal Field Theories
- 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
- From Dynkin diagram symmetries to fixed point structures
- D-branes in group manifolds
- 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
- K-Theory from a physical perspective
- 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
- SU(2) WZW D-branes and their non-commutative geometry from DBI action
- A note on D-branes in group manifolds: flux quantisation and D0-charge
- 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)
- Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings
- Novel construction of boundary states in coset conformal field theories
- Twisted boundary states and representation of generalized fusion algebra
- The D-branes of SU(n)
- D-branes in N=2 coset models and twisted equivariant K-theory
- Charges of Exceptionally Twisted Branes
- 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 D-branes on the SU(N) group manifold
- Twisted boundary states in Kazama-Suzuki models
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- Comments on I1-branes
- Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
- Level-rank duality of D-branes on the SU(N) group manifold
- The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26. I.Extended Actions and New Twisted World-Sheet Gravities
- 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