Classifying algebras for boundary conditions and traces on spaces of conformal blocks

Abstract

The boundary conditions of a non-trivial string background are classified. To this end we need traces on various spaces of conformal blocks, for which generalizations of the Verlinde formula are presented.

arXiv comment7 pages, LaTeX. Slightly extended version of a talk given by C. Schweigert at the 31st International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, September 1997

References in corpus (5)

• Completeness Conditions for Boundary Operators in 2D Conformal Field Theory
• A matrix S for all simple current extensions
• Planar Duality in $SU(2)$ WZW Models
• Simple currents and extensions of vertex operator algebras
• The resolution of field identification fixed points in diagonal coset theories

Cited by in corpus (3)

• Spectra of 4D, N=1 Type I String Vacua on Non-Toroidal CY Threefolds
• Type IIB orientifolds on Gepner points
• The three-dimensional origin of the classifying algebra