Twisted WZW Branes from Twisted REA's
arXiv:hep-th/0412146 · doi:10.1016/j.nuclphysb.2005.06.030
Abstract
Quantum geometry of twisted Wess--Zumino--Witten branes is formulated in the framework of twisted Reflection Equation Algebras. It is demonstrated how the representation theory of these algebras leads to the correct classification and localisation of branes. A semiclassical formula for quantised brane positions is derived and shown to be consistent with earlier string-theoretic analyses.
18 pages; the contents restructured, minor corrections introduced, new references added
References in corpus (39)
- 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
- D-branes in Gepner models
- Boundary Deformation Theory and Moduli Spaces of D-Branes
- Flux Stabilization of D-branes
- Algebraic Structures Related to Reflection Equations
- Open Strings and D-branes in WZNW model
- q-Deformed Orthogonal and Pseudo-Orthogonal Algebras and Their Representations
- Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
- Conformal field theory: a case study
- Loop Operators and the Kondo Problem
- Branes on Group Manifolds, Gluon Condensates, and twisted K-theory
- Boundary remnant of Yangian symmetry and the structure of rational reflection matrices
- Lectures on Branes in Curved Backgrounds
- Quantum symmetric spaces and related q-orthogonal polynomials
- D-brane charge, flux quantisation and relative (co)homology
- Constant Solutions of Reflection Equations and Quantum Groups
- Non-commutative gauge theory of twisted D-branes
- Flux stabilization in compact groups
- Boundary scattering, symmetric spaces and the principal chiral model on the half-line
- SU(2) WZW D-branes and their non-commutative geometry from DBI action
- Twisted K-Theory of Lie Groups
- The charges of a twisted brane
- D-branes on group manifolds and fusion rings
- Covariance Properties of Reflection Equation Algebras
- An illustrated guide to D-branes in SU(3)
- A quantum algebraic description of D-branes on group manifolds
- Branching rules of semi-simple Lie algebras using affine extensions
- Matrix description of D-branes on 3-spheres
- Central elements of the algebras and
- Classification of irreducible representations of the q-deformed algebra U'_q(so_n)
- On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations
- Algebraic brane dynamics on SU(2): excitation spectra
- The Nonstandard Deformation U'_q(so_n) For q a Root of Unity
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- q-deformed algebras and their representations
- Quantum Matrix Models for Simple Current Orbifolds