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

TL;DR

This paper constructs a covariant superstring action in a plane wave Ramond-Ramond background, fixes gauges, and derives a quadratic light-cone gauge action suitable for explicit quantization.

Contribution

It provides the first explicit construction of a covariant, mbda-symmetric superstring action in this background and derives a quadratic light-cone gauge form.

Findings

Derived the light-cone string Lagrangian and Hamiltonian.

Quantized the model explicitly due to quadratic form.

Realized superalgebra generators in terms of superstring fields.

Abstract

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.