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arXiv · hep-th/0112044

Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background

R. R. Metsaev
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Abstract

We construct the covariant $κ$-symmetric superstring action for type $IIB$ superstring on plane wave space supported by Ramond-Ramond background. The action is defined as a 2d sigma-model on the coset superspace. We fix the fermionic and bosonic light-cone gauges in the covariant Green-Schwarz superstring action and find the light-cone string Lagrangian and the Hamiltonian. The resulting light-cone gauge action is quadratic in both the bosonic and fermionic superstring 2d fields, and therefore, this model can be explicitly quantized. We also obtain a realization of the generators of the basic superalgebra in terms of the superstring 2d fields in the light-cone gauge.

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R. R. Metsaev. 2002-02-04. Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background. https://doi.org/10.1016/s0550-3213(02)00003-2

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