A Representation of Symmetry Generators for the Type IIB Superstring on a Plane Wave in the U(4) Formalism

TL;DR

This paper derives explicit symmetry currents for the type IIB superstring in a plane wave background using the U(4) formalism, extending understanding of superstring symmetries in curved backgrounds.

Contribution

It provides a detailed realization of U(4) symmetry generators and fermionic generators within the N=(2,2) superconformal framework for the superstring on a plane wave.

Findings

Explicit U(4) symmetry generators constructed

Fermionic symmetry generators realized in terms of worldsheet fields

Currents expressed in a covariant light-cone formulation

Abstract

We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic generators is obtained in terms of the N=(2,2) worldsheet fields. Because the action is no longer quadratic, we use a light-cone version to display the currents in terms of the covariant worldsheet variables.