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Resumen de On simplicity of vacuum modules

María Gorelik, Victor G. Kac

  • 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


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