D-Brane solutions in a light-like linear dilaton background

TL;DR

This paper constructs and analyzes D-brane solutions in a light-like linear dilaton background, revealing their supersymmetry properties and extending to M5-brane solutions in eleven dimensions.

Contribution

It introduces new D-brane solutions in a linear dilaton background derived from intersecting branes and explores their supersymmetry characteristics.

Findings

D-brane solutions preserve 1/4 supersymmetry.

A D5-brane in a linear dilaton background is obtained via Penrose limit.

An M5-brane solution in eleven-dimensional supergravity is also presented.

Abstract

The light-like linear dilaton background presents a simple time dependent solution of type II supergravity equations of motion that preserves 1/2 supersymmetry in ten dimensions. We construct supergravity D-brane solutions in a linear dilaton background starting from the known intersecting brane solutions in string theory. By applying a Penrose limit on the intersecting (NS1-NS5-NS5')- brane solution, we find out a D5-brane in a linear dilaton background. We solve the Killing spinor equations for the brane solutions explicitly, and show that they preserve 1/4 supersymmetry. We also find a M5-brane solution in eleven dimensional supergravity.