SIMPLE CURRENT EXTENSIONS AND MAPPING CLASS GROUP REPRESENTATIONS

DOI10.1142/S0217751X9800007XzbMath0923.17027arXivhep-th/9611124MaRDI QIDQ4259605

Peter Bantay

Publication date: 31 August 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9611124

zbMATH Keywords

untwisted stabilizerfixed point resolutioncurrent extensionsmapping class group representation

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (12)

A short guide to orbifold deconstruction ⋮ TFT construction of RCFT correlators. III: Simple currents ⋮ Formula for fixed point resolution matrix of permutation orbifolds ⋮ Symmetry-resolved entanglement entropy, spectra \& boundary conformal field theory ⋮ Boundaries, crosscaps and simple currents ⋮ Orbifold analysis of broken bulk symmetries. ⋮ FC sets and twisters: the basics of orbifold deconstruction ⋮ Orbifold deconstruction: a computational approach ⋮ Symmetry breaking boundaries. I: General theory ⋮ Symmetry breaking boundaries. II: More structures; examples ⋮ Correspondences of ribbon categories ⋮ Simple current actions of cyclic groups

Cites Work

• Fusion rules and modular transformations in 2D conformal field theory
• Classical and quantum conformal field theory
• A matrix \(S\) for all simple current extensions
• The Frobenius-Schur indicator in conformal field theory
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS

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