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Algebraic Quantization on the Torus and Modular Invariance

1997/01/31 by Julio Guerrero, J. Guerrero, V. Aldaya +5
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9702004

Latex, 5 pages with no figures. Uses style file group21.sty Contribution to the XXI International Colloquium on Group Theoretical Methods in Physics, Goslar, Germany

arxiv created 1997/01/31 · arxiv updated 2009/11/30

Abstract

New features of systems with non-trivial topology such as fractional quantum numbers, inequivalent quantizations, good operators, topological anomalies, etc. are described in the framework of an algebraic quantization procedure on a group. Modular invariance naturally appears as a subgroup of good operators in the particular case of the torus.

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