An example of localized D-branes solution on PP-wave backgrounds

TL;DR

This paper constructs explicit, fully localized supersymmetric D3-brane solutions on pp-wave backgrounds, extending to other Dp-branes and D1/D5 systems, contributing to string theory and supergravity solution catalogues.

Contribution

It provides the first explicit example of fully localized D3-branes on pp-wave backgrounds and generalizes the solutions to other Dp-branes and D1/D5 systems.

Findings

Explicit localized D3-brane solution on pp-wave background

Generalization to other Dp-branes and D1/D5 system

Solution depends on all transverse coordinates

Abstract

In this note we provide an explicit example of type IIB supersymmetric D3-branes solution on a pp-wave like background, consisting in the product of an eight-dimensional pp-wave times a two-dimensional flat space. An interesting property of our solution is the fully localization of the D3-branes (i.e. the solution depends on all the transverse coordinates). Then we show the generalization to other Dp-branes and to the D1/D5 system.