Symmetry-breaking boundary states for WZW models

TY - JOUR

T1 - Symmetry-breaking boundary states for WZW models

AU - Blakeley, Daniel

AU - Recknagel, Andreas

PY - 2009/1/11

Y1 - 2009/1/11

N2 - Starting with the SU(2)(k) WZW model, we construct boundary states that generically preserve only a parafermion times Virasoro subalgebra, of the full affine Lie algebra symmetry of the bulk model. The boundary states come in families: intervals for generic k, quotients of SU(2) by discrete groups if k is a square. In that case, special members of the families can be viewed as superpositions of rotated Cardy branes. Using embeddings of SU(2) into higher groups, the new boundary states can be lifted to symmetry-breaking branes for other WZW models. (C) 2008 Elsevier B.V. All rights reserved.

AB - Starting with the SU(2)(k) WZW model, we construct boundary states that generically preserve only a parafermion times Virasoro subalgebra, of the full affine Lie algebra symmetry of the bulk model. The boundary states come in families: intervals for generic k, quotients of SU(2) by discrete groups if k is a square. In that case, special members of the families can be viewed as superpositions of rotated Cardy branes. Using embeddings of SU(2) into higher groups, the new boundary states can be lifted to symmetry-breaking branes for other WZW models. (C) 2008 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.nuclphysb.2008.08.001

DO - 10.1016/j.nuclphysb.2008.08.001

M3 - Article

SN - 0550-3213

VL - 806

SP - 636

EP - 655

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

M1 - N/A

ER -