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

2021/01/26 by Heras, C. Las, del Moral, M. P. Garcia
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2101.10507

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 M₉× T² on three different constant three-form backgrounds: M2-brane with constant C_-, M2-brane with constant C_± and M2-brane with a generic constant C₃ 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_± 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.

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