Spectra of Conformal Field Theories with Current Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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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