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

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.