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Rationality, quasirationality and finite W-algebras | | Matthias R. Gaberdiel
; Andrew Neitzke
; | | Date: |
28 Sep 2000 | | Journal: | Commun.Math.Phys. 238 (2003) 305-331 | | Subject: | High Energy Physics - Theory; Quantum Algebra | hep-th math.QA | | Abstract: | Some of the consequences that follow from the C_2 condition of Zhu are analysed. In particular it is shown that every conformal field theory satisfying the C_2 condition has only finitely many n-point functions, and this result is used to prove a version of a conjecture of Nahm, namely that every representation of such a conformal field theory is quasirational. We also show that every such vertex operator algebra is a finite W-algebra, and we give a direct proof of the convergence of its characters as well as the finiteness of the fusion rules. | | Source: | arXiv, hep-th/0009235 | | Services: | Forum | Review | PDF | Favorites | |
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