Supergravity solutions for D-branes in Hpp-wave backgrounds

TL;DR

This paper constructs explicit supergravity solutions for D-branes in maximally supersymmetric Hpp-wave backgrounds, including both supersymmetric and non-supersymmetric cases, revealing unique features like gravity repulsion near non-supersymmetric branes.

Contribution

It provides the first explicit supergravity solutions for D-branes in Hpp-wave backgrounds, distinguishing between supersymmetric and non-supersymmetric configurations with detailed coordinate analysis.

Findings

Supersymmetric solutions are delocalised along certain directions.

Non-supersymmetric solutions are fully localised and exhibit gravity repulsion.

Solutions preserve supersymmetry as predicted by probe/CFT analysis.

Abstract

We derive two families of supergravity solutions describing D-branes in the maximally supersymmetric Hpp-wave background. The first family of solutions corresponds to quarter-BPS D-branes. These solutions are delocalised along certain directions transverse to the pp-wave. The second family corresponds to the non-supersymmetric D-branes. These solutions are fully localised. A peculiar feature of the nonsupersymmetric solutions is that gravity becomes repulsive close to the core of the D-brane. Both families preserve the amount of supersymmetry predicted by the D-brane probe/CFT analysis. All solutions are written in Brinkman coordinates. To construct these kind of solutions it is crucial to identify the coordinates in which the ansatz looks the simplest. We argue that the natural coordinates to get the supergravity description of the half-BPS branes are the Rosen coordinates.