Relation between non trivial M2-branes and D2-branes 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.

arXiv comment6 pages. To be considered for publication in the Proc. of the XXII Chilean Physics Symposium 2020, Journal of Physics Conference Series IOP

Cited by in corpus (1)

• D2-brane with RR and NSNS fluxes and its dual M-theory origin