Relation between non trivial M2-branes and D2-branes with fluxes

TL;DR

This paper explores the connections between different sectors of M2-brane theories with fluxes and their dual D2-brane descriptions, highlighting spectral properties and dualities in string theory.

Contribution

It establishes the relation between three M2-brane sectors with fluxes via canonical transformations and discusses their dual D2-brane counterparts with specific flux conditions.

Findings

Discrete supersymmetric spectrum in certain M2-brane sectors

Duality between M2-brane sectors and D2-brane configurations

Conjecture on spectral properties of CM2-brane with fluxes

Abstract

We show the relation between three non trivial sectors of M2-brane theory formulated in the LCG connected among them by canonical transformations. These sectors correspond to the supermembrane theory formulated on a $M_9\times T^2$ on three different constant three-form backgrounds: M2-brane with constant $C_{-}$, M2-brane with constant $C_{\pm}$ and M2-brane with a generic constant $C_3$ denoted as CM2-brane. The first two exhibit a purely discrete supersymmetric spectrum once the central charge condition, or equivalently, the corresponding flux condition has been turned on. The CM2-brane is conjectured to share this spectral property once that fluxes $C_{\pm}$ are turned on. As shown in [1] they are duals to three inequivalent sectors of the D2-branes with specific worldvolume and background RR and NSNS quantization conditions on each case.