The A-D-E classification of minimal andA
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conformal invariant theories |
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| Authors: | A Cappelli C Itzykson J B Zuber |
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| Institution: | (1) Service de Physique Théorique, CEN-Saclay, F-91191 Gif-sur-Yvette Cedex, France;(2) Present address: Sezione di Firenze, Istituto Nazionale di Fisica Nucleare, Largo E. Fermi 2, I-50125 Firenze, Italy |
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| Abstract: | We present a detailed and complete proof of our earlier conjecture on the classification of minimal conformal invariant theories. This is based on an exhaustive construction of all modular invariant sesquilinear forms, with positive integral coefficients, in the characters of the Virasoro or of theA
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Kac-Moody algebras, which describe the corresponding partition functions on a torus. A remarkable correspondence emerges with simply laced Lie algebras. |
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