Symmetry-breaking boundary states for WZW models

Details Symmetry-breaking boundary states for WZW models Symmetry-breaking boundary states for WZW models

2007-05-08

arxiv.org/abs/0705.1068v2

Nucl.Phys.B806:636-655,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; notes and references added

Scientific paper

10.1016/j.nuclphysb.2008.08.001

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.

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