BPS Configuration of Supermembrane With Winding in M-direction

TL;DR

This paper investigates the BPS configurations of the supermembrane with winding in the M-direction, proposing a SUSY algebra and analyzing the conditions for quarter supersymmetry preservation.

Contribution

It introduces a Lorentz invariant SUSY algebra for the supermembrane with winding and derives a PDE describing BPS states with partial supersymmetry.

Findings

SUSY algebra for supermembrane with winding proposed

BPS conditions linked to area preserving diffeomorphisms analyzed

First order PDE for quarter SUSY BPS states derived

Abstract

We study de Wit-Hoppe-Nicolai supermembrane with emphasis on the winding in M-direction. We propose a SUSY algebra of the supermembrane in the Lorentz invariant form. We analyze the BPS conditions and argue that the area preserving diffeomorphism constraints associated with the harmonic vector fields play an essential role. We derive the first order partial differential equation that describes the BPS state with one quarter SUSY.