Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave

TL;DR

This paper investigates the dynamics of antimembranes in an eleven-dimensional pp wave background, demonstrating that despite broken supersymmetry, the BMN matrix theory and supergravity results align in their interaction predictions.

Contribution

It provides the first detailed calculation of antimembrane interactions in the pp wave background using BMN matrix theory and supergravity, highlighting their agreement despite supersymmetry breaking.

Findings

BMN matrix theory accurately predicts antimembrane interactions

Supergravity and matrix theory results agree despite broken supersymmetry

Antimembrane dynamics in pp wave backgrounds are consistent with theoretical models

Abstract

We study a spherical antimembrane in the eleven dimensional pp wave. In this background, a single antimembrane breaks all the supersymmetries because its dipole is misaligned with the background flux. Using the BMN matrix theory we compute the one-loop potential for the antimembrane. Then we put the antimembrane in the field produced by a source spherical membrane and compute the velocity-dependent part of the interaction between them on both the supergravity side and the BMN matrix theory side. Despite the aforementioned nonsupersymmetry of the antimembrane, it is found that the results on the two sides completely agree.