Spectra of Conformal Field Theories with Current Algebras

1995/11/13 by Terry Gannon, T. Gannon, Gannon, T. +4
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9511089

10 pages, Plain Tex file plus 4 Postscript files (tarred, compressed and uuencoded together). epsf used to include figures

arxiv created 1995/11/13 · openalex publication_date 1995/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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