Brane Solutions with/without Rotation in PP-wave Spacetime

TL;DR

This paper introduces two classes of brane solutions in pp-wave spacetime, one with rotation and one without, analyzing their supersymmetry, horizons, and thermodynamic properties.

Contribution

It presents new exact brane solutions with and without rotation in pp-wave backgrounds, including supersymmetry analysis and thermodynamic insights.

Findings

Rotating branes preserve the same supersymmetry as non-rotating ones.

One class of branes lacks a regular horizon.

The other class admits a regular horizon and has notable thermodynamic properties.

Abstract

We present two classes of brane solutions in pp-wave spacetime. The first class of branes with a rotation parameter are constructed in an exact string background with NS-NS and R-R flux. The spacetime supersymmetry is analyzed by solving the standard Killing spinor equations and is shown to preserve the same amount of supersymmetry as the case without the rotation. This class of branes do not admit regular horizon. The second class of brane solutions are constructed by applying a null Melvin twist to the brane solutions of flat spacetime supergravity. These solutions admit regular horizon. We also comment on some thermodynamic properties of this class of solutions.