Non-commutative M-branes from Open Pure Spinor Supermembrane

TL;DR

This paper explores how open supermembranes with constant three-form fluxes in the pure spinor formalism give rise to various non-commutative M-branes, including M5 and M9-branes, with different flux configurations.

Contribution

It introduces new non-commutative M-branes, specifically M9-branes with electric and magnetic fluxes, derived from the supermembrane BRST symmetry analysis.

Findings

Identifies NC M5-brane with self-dual flux

Discovers NC M9-branes with electric and magnetic fluxes

Shows these branes preserve half of the supersymmetry

Abstract

Open supermembrane with a constant three-form flux in the pure spinor formalism is examined. The BRST symmetry of the open supermembrane action leads to non-commutative (NC) M-branes. In addition to the NC M5-brane with a self-dual two-form flux, we find a NC M9-brane with an electric flux and a NC M9-brane with a magnetic flux. The former reduces in the critical electric flux limit to an M2-brane on the M9-brane, while the latter reduces in the strong magnetic flux limit to infinitely many Kaluza-Klein monopoles dissolved into the M9-brane. These NC M-branes are shown to preserve a half of 32 supersymmetries.