Abstract
We study the superextension of the semi-infinite cohomology theory of the Virasoro Algebra. In particular, we examine the BRST complex with coefficients in the Fock Space of the RNS superstring. We prove a theorem of vanishing cohomology, and establish the unitary equivalence between a positive definite transversal space, a physical subspace and the zeroth cohomology group. The cohomology of a subcomplex is identified as the covariant equivalent of the well-known GSO subspace. An exceptional case to the vanishing theorem is discussed.
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Communicated by A. Jaffe
Supported by NSF Grant DMS-8703581
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Lian, B.H., Zuckerman, G.J. BRST cohomology of the super-Virasoro Algebras. Commun.Math. Phys. 125, 301–335 (1989). https://doi.org/10.1007/BF01217910
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DOI: https://doi.org/10.1007/BF01217910