Chiral supersymmetric pp-wave solutions of IIA supergravity

TL;DR

This paper constructs explicit chiral supersymmetric pp-wave solutions in type IIA supergravity, detailing their metric and matter fields based on Killing spinors and arbitrary functions.

Contribution

It provides the first explicit parametrization of chiral supersymmetric pp-wave solutions in type IIA supergravity, including metric and matter fields.

Findings

Solutions preserve at least one residual chiral supersymmetry.

Explicit forms of the metric and matter fields are derived.

The solutions are characterized by arbitrary functions and Killing spinors.

Abstract

We describe solutions of type IIA (N=2, D=10) supergravity built under the assumption of the existence of at least one residual chiral supersymmetry. Their geometry is of pp-wave type. Explicit parametrization of the metric and matter field components, in terms of Killing spinors and arbitrary functions, is provided.