Remarks on type IIB pp waves with Ramond-Ramond fluxes and massive two dimensional nonlinear sigma models

TL;DR

This paper investigates how Ramond-Ramond fluxes influence the structure of supersymmetric type IIB pp wave solutions, revealing new potential terms and supersymmetry conditions in the associated nonlinear sigma models.

Contribution

It extends previous work by analyzing the effects of Ramond-Ramond three-forms on the potential terms and supersymmetry constraints in type IIB pp wave backgrounds.

Findings

Ramond-Ramond three-forms add new potential terms involving Killing vectors.

Supersymmetry with (1,1) worldsheet requires Killing vectors to be self-dual in Spin(7).

Identifies conditions for supersymmetric solutions with fluxes.

Abstract

We continue the study of supersymmetric type IIB pp wave solutions by Maldacena and Maoz (hep-th/0207284), who showed Ramond-Ramond five-forms can induce potential terms in the light cone string actions which are nonlinear sigma models with special holonomy target spaces. We show nonvanishing Ramond-Ramond three-forms provide extra potential terms involving Killing vectors in the string action and identify the supersymmetry requirements. In particular, in solutions with (1,1) worldsheet supersymmetry, the Killing vectors are required to be self-dual in Spin(7).