Spectra of Conformal Field Theories with Current Algebras

Terry Gannon; Walton; Philippe Ruelle

doi:10.48550/arxiv.hep-th/9511089

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Spectra of Conformal Field Theories with Current Algebras

Terry Gannon Walton Philippe Ruelle

Year: 1995 Journal: arXiv (Cornell University) Publisher: Cornell University

DOI: 10.48550/arxiv.hep-th/9511089

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Abstract

This is an elementary review of our recent work on the classification of the spectra of those two-dimensional rational conformal field theories (RCFTs) whose (maximal) chiral algebras are current algebras. We classified all possible partition functions for such theories when the defining finite-dimensional Lie algebra is simple. The concepts underlying this work are emphasized, and are illustrated using simple examples.

Keywords:

Conformal map Conformal field theory Simple (philosophy) Current (fluid) Field (mathematics) Mathematics Current algebra Pure mathematics Algebra over a field Lie conformal algebra Partition (number theory) Physics Combinatorics Geometry Epistemology

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Spectra of Conformal Field Theories with Current Algebras

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