SU(2) WZW D-branes and quantized worldvolume U(1) flux on S^2

Abstract

We discuss possible D-brane configurations on SU(2) group manifolds in the sigma model approach. When we turn the boundary conditions of the spacetime fields into the boundary gluing conditions of chiral currents, we find that for all D-branes except the spherical D2-branes, the gluing matrices R^a_{b} depend on the fields, so the chiral Kac-Moody symmetry is broken, but conformal symmetry is maintained. Matching the spherical D2-branes derived from the sigma model with those from the boundary state approach we obtain a U(1) field strength that is consistent with flux quantization.

10 pages, Latex, several corrections (the previous version was not approved by the first two authors)

References in corpus (6)

• String Theory and Noncommutative Geometry
• Brane Dynamics in Background Fluxes and Non-commutative Geometry
• D-branes in group manifolds
• The geometry of WZW branes
• D-branes in AdS_3xS^3xS^3xS^1
• $\Lambda$-symmetry and background independence of noncommutative gauge theory on ${\mathbb{R}}^n$

Cited by in corpus (9)

• Formation of Spherical D2-brane from Multiple D0-branes
• Noncommutative D-Brane in Non-Constant NS-NS B Field Background
• Cyclicity of non-associative products on D-branes
• On the Quantization Constraints for a D3 Brane in the Geometry of NS5 Branes
• Maximally symmetric D-branes in gauged WZW models
• Hamiltonian Formulation of Open WZW Strings
• BRST construction of D-branes in SU(2) WZW model
• Page charge of D-branes and its behavior in topologically nontrivial B-fields
• D-branes in B Fields