Supergravity pp-wave solutions with 28 and 24 supercharges

TL;DR

This paper systematically classifies supergravity pp-wave solutions with enhanced supersymmetry, discovering new families with 28 and 24 supercharges, and explores their T-duals as perturbations of AdS-CFT.

Contribution

It provides a systematic algorithm for classifying supergravity solutions with augmented supersymmetry, including new solutions with 28 and 24 supercharges.

Findings

Found a two-parameter family of IIB solutions with 28 supercharges.

Identified several IIA and IIB solutions with 24 supercharges.

Derived non-pp wave solutions via T-duality as perturbations of AdS-CFT.

Abstract

We conduct an exhaustive search for solutions of IIA and IIB supergravity with augmented supersymmetry. We find a two-parameter family of IIB solutions preserving 28 supercharges, as well as several other IIA and IIB families of solutions with 24 supercharges. Given the simplicity of the pp-wave solution, the algorithm described here represents a systematic way of classifying all such solutions with augmented supersymmetry. By T-dualizing some of these solutions we obtain exact non-pp wave supergravity solutions (with 8 or 16 supercharges), which can be interpreted as perturbations of the AdS-CFT correspondence with irrelevant operators.