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

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

2001-12-06

arxiv.org/abs/hep-th/0112044v3

Nucl.Phys. B625 (2002) 70-96

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, LaTeX, v3: misprints in equations (5.34) and (5.41) are corrected

Scientific paper

10.1016/S0550-3213(02)00003-2

We construct the covariant $\kappa$-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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