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

C. Las Heras; M.P. Garcia del Moral

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

M.P. Garcia del Moral, C. Las Heras

High Energy Physics - Theory · Submitted 28 Dec 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim These D-brane descriptions constitute String theory sectors with a quantum consistent uplift to M-theory.

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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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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.	contribution 0.60	0.95	0.63	asserted 1.00
s1	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.	contribution 0.93	0.94	0.10	asserted 1.00
s2	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.	result 0.82	0.62	0.12	asserted 1.00
s3	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.	result 0.78	0.86	0.17	asserted 1.00
s4	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.	result 0.99	0.95	0.11	asserted 1.00
s5	Its bundle description takes on a new structure in the form of a twisted torus bundle.	result 0.96	0.80	0.07	asserted 1.00
s6	By turning off some of the fields, the D-brane description of other toroidally nontrivial M2-brane sectors can be obtained from this one.	result 0.63	0.82	0.07	asserted 0.94
s7	The possibility of reinterpreting these sectors in terms of Dp-brane bound states is discussed.	interpretation 0.78	0.52	0.06	hedged possibility 0.83
s8	These D-brane descriptions constitute String theory sectors with a quantum consistent uplift to M-theory.	interpretation 0.84	0.71	0.44	asserted 1.00

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Original 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.

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What it cites · 56 sentences without a confident label

Uses the method or tool of 3 papers

A way to solve this problem without introducing non-localities was proposed in [ref] , eliminating this dependence through the following canonical transformations of the phase space variables.

M2-branes on a constant flux background · Toroidally compactified Nontrivial M2-branes · 0.89
Closely following [ref] it is possible to define a new dynamical topologically trivial $U(1)$ one-form $𝒜_G$ defined in terms of scalar embedding maps as follows, [equation] It transforms as a $U(1)$ connection under the symplectomorphisms specified by ([ref]) [equation] with an associated curvature labelled $ℱ_G=d𝒜$ topologically trivial.

Fluxes, Twisted tori, Monodromy and $U(1)$ Supermembranes · U(1) Gauge Symmetries · 0.80
Following the notation of [ref] the pullback of the three-form components are, [equation] By performing a Legendre transformation we obtain the canonical Hamiltonian [equation] subject to the primary constraints [equation] with [equation] From the preservation in time of $φ$ the Gauss constraint is obtained ([ref]) as a time independent secondary constraint.

Superspace Geometry for Supermembrane Backgrounds · D2-branes on a RR and NSNS background with fluxes. · 0.82

Cites as support 2 papers

In particular, the M2-brane with central charges and the M2-brane with $C_±$ 2-form fluxes have a nontrivial U(1) monopole connection and a symplectic gauge field which can be properly combined to produce a topologically nontrivial dynamical gauge field as recently proved in [ref] .

Fluxes, Twisted tori, Monodromy and $U(1)$ Supermembranes · Introduction · 0.97
The discreteness of its supersymmetric spectrum was rigorously proved in [ref] and in [ref] .

Spectral properties in supersymmetric matrix models · The M2-brane with $C_±$ fluxes dual to the M2-brane with central charge · 0.99

Cites as background 17 papers

The relation between the M2-branes compactified on target spaces with isometries and the D2-branes under scalar/vector dualization is well-known [ref] .

Light-Cone Formulation of D2-Brane · Introduction · 0.95
The relation between the M2-branes compactified on target spaces with isometries and the D2-branes under scalar/vector dualization is well-known [ref] .

M-Theory (the Theory Formerly Known as Strings) · Introduction · 0.95
The relation between the M2-branes compactified on target spaces with isometries and the D2-branes under scalar/vector dualization is well-known [ref] .

TASI Lectures on D-Branes · Introduction · 0.95

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