Displaying similar documents to “Dimensions of Demazure modules for rank two affine Lie algebras”

Super boson-fermion correspondence

Victor G. Kac, J. W. Van de Leur (1987)

Annales de l'institut Fourier

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We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra g ˜ l 1 | 1 . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex...

Representation theory of Neveu-Schwarz and Ramond algebras II: Fock modules

Kenji Iohara, Yoshiyuki Koga (2003)

Annales de l’institut Fourier

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In this article, we study the structure of Fock modules over N = 1 super Virasoro algebras. As an application, we construct Bechi-Rouet–Stora–Tyutin type resolutions for N = 1 super minimal models and their descendants.