Spectra of conformal field theories with current algebras

Gannon, T.;Walton, M.A.;Ruelle, Philippe

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(en) 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. Comment: 10 pages, Plain Tex file plus 4 Postscript files (tarred, compressed and uuencoded together). epsf used to include figures
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Spectra of conformal field theories with current algebras. (n.d.). https://hdl.handle.net/2078.5/256698