The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry

Details The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry

2003-07-07

arxiv.org/abs/hep-th/0307056v3

Nucl.Phys. B676 (2004) 43-63

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, harmvac; major additions and new results

Scientific paper

We 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 $(b_{zz},c^{z}, \b_{zz}, \g^{z})$ 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 $Q_{V} = \oint c^{z} \Big(T^{W}_{zz} + {1\over 2} T^{top}_{zz}\Big) + \g^{z} (B^{W}_{zz} + {1\over 2} B^{top}_{zz} \Big)$, where $\eta_{z}$ is obtained by the usual fermionization of $\b_{zz}, \g^{z}$. Physical states form the cohomology of $Q_{S}+Q_{V}$, have nonnegative grading, and are annihilated by $b_{0}$ and $\beta_{0}$. We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.

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