p-branes on the waves

TL;DR

This paper introduces a broad class of explicit ten-dimensional supergravity solutions describing extremal supersymmetric p-branes embedded in time-dependent plane wave backgrounds, with potential for further generalizations.

Contribution

It provides explicit supergravity solutions for p-branes in dynamic plane wave backgrounds, expanding understanding of brane behavior in time-dependent settings.

Findings

Explicit supergravity solutions for extremal p-branes in plane waves.

Framework for extending solutions to non-extremal cases.

Alignment of branes with wave propagation direction.

Abstract

We present a large family of simple, explicit ten-dimensional supergravity solutions describing extended extremal supersymmetric Ramond-Ramond p-branes embedded into time-dependent dilaton-gravity plane waves of an arbitrary (isotropic) profile, with the brane world-volume aligned parallel to the propagation direction of the wave. Generalizations to the non-extremal case are not analyzed explicitly, but can be pursued as indicated.