Orbifold analysis of broken bulk symmetries

Details Orbifold analysis of broken bulk symmetries Orbifold analysis of broken bulk symmetries

1998-11-24

arxiv.org/abs/hep-th/9811211v1

Phys.Lett. B447 (1999) 266-276

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX2e

Scientific paper

10.1016/S0370-2693(98)01598-6

In two-dimensional conformal field theory, we analyze conformally invariant boundary conditions which break part of the bulk symmetries. When the subalgebra that is preserved by the boundary conditions is the fixed algebra under the action of a finite group G, orbifold techniques can be used to determine the structure of the space of such boundary conditions. We present explicit results for the case when G is abelian. In particular, we construct a classifying algebra which controls these symmetry breaking boundary conditions in the same way in which the fusion algebra governs the boundary conditions that preserve the full bulk symmetry.

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