Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-08-27
Phys.Lett. B414 (1997) 251-259
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX
Scientific paper
10.1016/S0370-2693(97)01180-5
We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer spin simple current, modular invariant), this classifying algebra contains the fusion algebra of the untwisted sector as a subalgebra. Proper treatment of fields in the twisted sector, so-called fixed points, leads to structures that are intriguingly close to the ones implied by modular invariance for conformal field theories on closed orientable surfaces.
Fuchs J"urgen
Schweigert Christoph
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