Supersymmetric Branes in the Matrix Model of PP Wave Background

TL;DR

This paper constructs and analyzes various supersymmetric branes within the matrix model of a pp-wave background, revealing their supersymmetry properties, shapes, and spectra of worldvolume fields and strings.

Contribution

It introduces new supersymmetric brane solutions, including rotating elliptic and hyperbolic membranes, and studies their spectra and supersymmetry preservation.

Findings

Spherical membrane preserves 16 supersymmetries.

Rotating elliptic membranes preserve 8 supersymmetries.

Hyperbolic branes have no massless worldvolume modes.

Abstract

We consider the matrix model associated with pp-wave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of hyperboloid of one or two sheets embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 0-2 strings.