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Modular Invariance and (Quasi)-Galois symmetry in Conformal Field Theory

1994/12/14 by A. N. Schellekens, Schellekens, A. N.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9412118

18 pages, phyzzx macro pkg, 3 figures

arxiv created 1994/12/14 · arxiv updated 2009/11/30

Abstract

A brief heuristic explanation is given of recent work with Juergen Fuchs, Beatriz Gato-Rivera and Christoph Schweigert on the construction of modular invariant partition functions from Galois symmetry in conformal field theory. A generalization, which we call quasi-Galois symmetry, is also described. As an application of the latter, the invariants of the exceptional algebras at level g (for example E8 level 30) expected from conformal embeddings are presented. [Contribution to the Proceedings of the International Symposium on the Theory of Elementary Particles Wendisch-Rietz, August 30 - September 3, 1994]

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