Symmetry breaking, permutation D-branes on group manifolds: boundary states and geometric description

Abstract

We use the permutation symmetry between the product of several group manifolds in combination with orbifolds and T-duality to construct new classes of symmetry breaking branes on products of group manifolds. The resulting branes mix the submanifolds and break part of the diagonal chiral algebra of the theory. We perform a Langrangian analysis as well as a boundary CFT construction of these branes and find agreement between the two methods.

36 pages; v2: references added, appendix extended, typos corrected, to appear in Nucl. Phys

References in corpus (15)

• D-Brane Instantons and K-Theory Charges
• Geometrical interpretation of D-branes in gauged WZW models
• Permutation Branes
• Lectures on Branes in Curved Backgrounds
• D-branes in a plane wave from covariant open strings
• Supergravity solutions for D-branes in Hpp-wave backgrounds
• On the hierarchy of symmetry breaking D-branes in group manifolds
• Flux stabilization in compact groups
• Asymmetric Cosets
• D-branes in an asymmetric orbifold
• Boundaries, defects and Frobenius algebras
• Non-maximally symmetric D-branes on group manifold in the Lagrangian approach
• Diagonal D-branes in product spaces and their Penrose limits
• On DBI action of the non-maximally symmetric D-branes on SU(2)
• On D-branes in the Nappi-Witten and GMM gauged WZW models

Cited by in corpus (14)

• Generalised permutation branes
• The RR charges of A-type Gepner models
• Generalised N=2 permutation branes
• Some remarks on defects and T-duality
• Defects and Permutation branes in the Liouville field theory
• Defects, Super-Poincaré line bundle and Fermionic T-duality
• Generalised Permutation Branes on a product of cosets $G_{k_1}/H\times G_{k_2}/H$
• Permutation Orientifolds of Gepner Models
• Canonical quantization of the WZW model with defects and Chern-Simons theory
• Permutation Orientifolds
• Inner brane: A D3-brane in the Nappi-Witten model from an inner group automorphism
• DBI analysis of generalised permutation branes
• Quasi-Hamiltonian bookkeeping of WZNW defects
• Integrable branes in generalized $\lambda$-deformations