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17 April 2024
 
  » arxiv » hep-th/0307056

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The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
P. A. Grassi ; G. Policastro ; P. van Nieuwenhuizen ;
Date 7 Jul 2003
Journal Nucl.Phys. B676 (2004) 43-63
Subject hep-th
AffiliationYITP, Stony Brook), G. Policastro (DAMTP, Cambridge), and P. van Nieuwenhuizen (YITP, Stony Brook
AbstractWe present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts $(b_{zz},c^{z}, _{zz}, g^{z})$ for topological gravity. The currents of this combined system form an N=2 superconformal algebra. The model has vanishing central charge and contains two anticommuting BRST charges, $Q_{S}=Q_{W} + oint g^{z} b_{zz} + oint eta_{z}$ and $Q_{V} = oint c^{z} Big(T^{W}_{zz} + {1over 2} T^{top}_{zz}Big) + g^{z} (B^{W}_{zz} + {1over 2} B^{top}_{zz} Big)$, where $eta_{z}$ is obtained by the usual fermionization of $_{zz}, g^{z}$. Physical states form the cohomology of $Q_{S}+Q_{V}$, have nonnegative grading, and are annihilated by $b_{0}$ and $eta_{0}$. We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.
Source arXiv, hep-th/0307056
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