Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-06
J.Geom.Phys. 34 (2000) 162-190
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, LaTeX2e; Reference to [9] clarified, where the relation between boundary structure constants and fusing matrices has
Scientific paper
10.1016/S0393-0440(99)00061-3
The structures in target space geometry that correspond to conformally invariant boundary conditions in WZW theories are determined both by studying the scattering of closed string states and by investigating the algebra of open string vertex operators. In the limit of large level, we find branes whose world volume is a regular conjugacy class or, in the case of symmetry breaking boundary conditions, a `twined' version thereof. In particular, in this limit one recovers the commutative algebra of functions over the brane world volume, and open strings connecting different branes disappear. At finite level, the branes get smeared out, yet their approximate localization at (twined) conjugacy classes can be detected unambiguously. As a by-product, it is demonstrated how the pentagon identity and tetrahedral symmetry imply that in any rational conformal field theory the structure constants of the algebra of boundary operators coincide with specific entries of fusing matrices.
Felder Giovanni
Fröhlich Jürg
Fuchs J"urgen
Schweigert Christoph
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