The Quantum superstring as a WZNW model
Jul, 2003
27 pages
Published in:
- Nucl.Phys.B 676 (2004) 43-63
e-Print:
- hep-th/0307056 [hep-th]
Report number:
- YITP-SB-03-03,
- LPTENS-03-24,
- DAMTP-2003-64
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Abstract:
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 is obtained by the usual fermionization of \b_{zz}, \g^{z}. Physical states form the cohomology of , have nonnegative grading, and are annihilated by and . We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.Note:
- 26 pages, harmvac; major additions and new results
- 11.25.-w
- 11.25.Hf
- 11.30.Pb
- string model
- supersymmetry
- dimension: 10
- Wess-Zumino-Witten model
- gauge field theory
- quantization
- invariance: Lorentz
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