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

TL;DR

This paper develops a D-brane description of toroidally compactified M2-branes with fluxes, revealing new symmetries and a twisted torus bundle structure, and discusses their quantum consistency and relation to Dp-branes.

Contribution

It introduces a bosonic D-brane framework for M2-branes with fluxes, generalizes the Hamiltonian formulation, and uncovers new symmetries and bundle structures.

Findings

Discrete supersymmetric spectrum with finite multiplicity

New symplectic gauge field and U(1) flux symmetries

D-brane descriptions with twisted torus bundle structure

Abstract

We obtain the bosonic D-brane description of toroidally compactified non-trivial M2-branes with the unique property of having a purely discrete supersymmetric regularized spectrum with finite multiplicity. As a byproduct, we generalize the previous Hamiltonian formulation to describe a M2-brane on a completely general constant quantized background $C_3$ denoted by us as CM2-brane. We show that under this condition, the theory is equivalent to a more restricted one, denoted as an M2-brane with $C_\pm$ fluxes, which has been shown to have good quantum behavior. As a result, the spectral properties of both sectors must be the same.We then obtain its bosonic D-brane description and discover new symmetries. We find that it contains a new symplectic gauge field in addition to the expected U(1) Dirac-Born-Infeld gauge symmetry and a nontrivial $U(1)$ associated with the presence of 2-form fluxes. Its bundle description takes on a new structure in the form of a twisted torus bundle. By turning off some of the fields, the D-brane description of other toroidally nontrivial M2-brane sectors can be obtained from this one. The possibility of reinterpreting these sectors in terms of Dp-brane bound states is discussed. These D-brane descriptions constitute String theory sectors with a quantum consistent uplift to M-theory.