Gauge invariant action for superstring in Ramond-Ramond plane-wave background

TL;DR

This paper develops a gauge invariant action for superstrings in a Ramond-Ramond plane-wave background, explicitly constructing the Wess-Zumino term and deriving equations of motion with symmetry considerations.

Contribution

It introduces a novel gauge invariant superstring action in RR plane-wave backgrounds with explicit Wess-Zumino term and symmetry generators.

Findings

Explicit form of the Wess-Zumino term in bilinear currents

Derivation of reparametrization and fermionic constraints

Equations of motion in conformal and covariant forms

Abstract

We present a gauge invariant action for a superstring in the plane wave background with Ramond-Ramond (RR) five-form flux. The Wess-Zumino term is given explicitly in a bilinear form of the left invariant currents by introducing a fermionic center to define the nondegenerate group metric. The reparametrization invariance generators, whose combinations are conformal generators, and fermionic constraints, half of which generate kappa-symmetry, are obtained. Equations of motion are obtained in conformal invariant and background covariant manners.