On simplicity of vacuum modules

• Autores: María Gorelik, Victor G. Kac
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 211, Nº 2, 2007, págs. 621-677
• Idioma: inglés
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• Resumen

  • We find necessary and sufficient conditions of irreducibility of vacuum modules over affine Lie algebras and superalgebras. From this we derive conditions of simplicity of minimal W-algebras. Moreover, in the case of the Virasoro and Neveu¿Schwarz algebras we obtain explicit formulas for the vacuum determinants