Simple Current Extensions and Mapping Class Group Representations

Abstract

The conjecture of Fuchs, Schellekens and Schweigert on the relation of mapping class group representations and fixed point resolution in simple current extensions is investigated, and a cohomological interpretation of the untwisted stabilizer is given.

12 pages, LaTeX, references updated

References in corpus (2)

• A matrix S for all simple current extensions
• The Frobenius-Schur indicator in Conformal Field Theory

Cited by in corpus (13)

• TFT construction of RCFT correlators III: Simple currents
• Correspondences of ribbon categories
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• Boundaries, crosscaps and simple currents
• Symmetry breaking boundaries II. More structures; examples
• Fixed point resolution in extended WZW-models
• Symmetry-resolved Entanglement Entropy, Spectra & Boundary Conformal Field Theory
• Orbifold analysis of broken bulk symmetries
• Fermionization and boundary states in 1+1 dimensions
• Formula for Fixed Point Resolution Matrix of Permutation Orbifolds
• Simple current symmetries in RCFT
• FC sets and twisters: the basics of orbifold deconstruction
• Simple Current Actions of Cyclic Groups