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

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.

arXiv comment34 pages. Some typos were improved and the title was changed

References in corpus (37)

• Dirichlet-Branes and Ramond-Ramond Charges
• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Toward Realistic Intersecting D-Brane Models
• TASI Lectures on D-Branes
• Super D-branes
• D-branes from M-branes
• Getting just the Standard Model at Intersecting Branes
• Matrix Perturbation Theory For M-theory On a PP-Wave
• Flux-induced SUSY-breaking soft terms
• D-brane actions
• BPS Nature of 3-String Junctions
• Dirac actions for D-branes on backgrounds with fluxes
• Brane world effective actions for D-branes with fluxes
• Superspace Geometry for Supermembrane Backgrounds
• Supermembrane on the PP-wave Background
• D2-branes in B fields
• On the Stability of Compactified D=11 Supermembranes
• Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding
• On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
• Compactified D=11 Supermembranes and Symplectic Non-Commutative Gauge Theories
• On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding
• D=11 Supermembrane wrapped on calibrated submanifolds
• Spectral properties in supersymmetric matrix models
• D-branes, Symplectomorphisms and Noncommutative Gauge Theories
• SL(2,Z) symmetries, Supermembranes and Symplectic Torus Bundles
• Stable Solutions of the Double Compactified D=11 Supermembrane Dual
• M2-branes on a constant flux background
• Hamiltonian formulation of the D-brane action and the light-cone Hamiltonian
• Classification of M2-brane 2-torus bundles, U-duality invariance and type II gauged supergravities
• Light-Cone Formulation of D2-Brane
• Fluxes, Twisted tori, Monodromy and $U(1)$ Supermembranes
• Light-Cone Formulation of Super D2-Brane
• Relation between non trivial M2-branes and D2-branes with fluxes
• D branes in background fluxes and Nielsen-Olesen instabilities
• Effective Action of a Dynamical D$p$-brane with Background Fluxes