10D massive type IIA supergravities as the uplift of parabolic M2‐brane torus bundles

Moral, M. P. García del; Restuccia, A.

doi:10.1002/prop.201500087

Cited by 4 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We obtained its Hamiltonian and discussed its properties. The theory may be formulated on a bundle whose fiber is a punctured torus and whose structure group, the area preserving diffeomorphisms as suggested in [33]. By using the relationship between P M CG(Σ 1,2 ) and the (1, 1) − knots theory, we show that the monodromies associated with the twice punctured torus bundle are much richer than the ones associated with torus bundles without punctures.…”

Section: Jhep10(2021)212mentioning

confidence: 97%

“…The M2-brane with C ± fluxes compactified on M 9 × T 2 has the same properties. In [33] it was shown that only M2-brane torus bundles with parabolic monodromy (linearly or non-linearly realized) can be non-trivially uplift to M2-brane bundles on ten non-compact dimensions. The non-triviality of the M2-brane bundle is completely necessary to guarantee that the low energy limit of the decompactified M2-brane corresponds to any of the two massive type IIA supergravities in 10D (Romans and Howe-Lambert-West supergravity) and not to the massless case.…”

Section: The M2-brane With C − Fluxes and Monodromy In Sl(2 Z)mentioning

confidence: 99%

“…There are very few possibilities for implementing this idea with a single compact dimension. Following a former idea of [33], we consider the uplift to ten non-compact dimensions in a nontrivial way, M 9 × LCD. The LCD is a Light Cone Diagram, a two dimensional flat strip with identifications and with prescribed segments whose curvature becomes infinite at some points.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The massive supermembrane on a knot

Moral

León

Restuccia

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We obtain the Hamiltonian formulation of the 11D Supermembrane theory non-trivially compactified on a twice punctured torus times a 9D Minkowski space-time. It corresponds to a M2-brane formulated in 11D space with ten non-compact dimensions. The critical points like the poles and the zeros of the fields describing the embedding of the Supermembrane in the target space are treated rigorously. The non-trivial compactification generates non-trivial mass terms appearing in the bosonic potential, which dominate the full supersymmetric potential and should render the spectrum of the (regularized) Supermembrane discrete with finite multiplicity. The behaviour of the fields around the punctures generates a cosmological term in the Hamiltonian of the theory.The massive supermembrane can also be seen as a nontrivial uplift of a supermembrane torus bundle with parabolic monodromy in M9 × T2. The moduli of the theory is the one associated with the punctured torus, hence it keeps all the nontriviality of the torus moduli even after the decompactification process to ten noncompact dimensions. The formulation of the theory on a punctured torus bundle is characterized by the (1, 1) − knots associated with the monodromies.

show abstract

Section: Jhep10(2021)212mentioning

confidence: 97%

Section: The M2-brane With C − Fluxes and Monodromy In Sl(2 Z)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The massive supermembrane on a knot

Moral

León

Restuccia

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The Fermionic T-duality has also been studied for massive type IIA supergravity [41]. The relation between the massive IIA supergravity and M-theory has also been investigated [42]. A relation between massive IIA/IIB supergravities has also been analyzed, and it has been demonstrated that a duality exists between such massive supergravities [43]- [44].…”

Section: Introductionmentioning

confidence: 99%

Vaidya spacetime in massive gravity's rainbow

Heydarzade

Rudra²,

Darabi

et al. 2017

Physics Letters B

View full text Add to dashboard Cite

In this paper, we will analyze the energy dependent deformation of massive gravity using the formalism of massive gravity's rainbow. So, we will use the Vainshtein mechanism and the dRGT mechanism for the energy dependent massive gravity, and thus analyze a ghost free theory of massive gravity's rainbow. We study the energy dependence of a time-dependent geometry, by analyzing the radiating Vaidya solution in this theory of massive gravity's rainbow. The energy dependent deformation of this Vaidya metric will be performed using suitable rainbow functions. *

show abstract

“…Brane solutions associated with Type IIA massive supergravity were found in [6]. In [7] a M-theory origin proposal was made. Its uplift to eleven dimensions supergravity had been previously established in [8].…”

Section: Introductionmentioning

confidence: 99%

Worldsheet description of a massive type IIA superstring in 10D

Garcia del Moral,

León,

Restuccia

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct, following [1, 2], a massive M2-brane (supermembrane) as the limit of a genus two M2-brane that becomes a twice punctured Riemann surface with particular boundary conditions on the fields defined on the punctures. The target space is M9 × LCD, where LCD is a genus one light cone diagram. It contains mass terms and a topological term associated with the non-triviality of the target surface that, at low energies, can be associated with the presence of a cosmological constant. We show that the supergravity background of the M2-brane considered in this formulation requires the presence of M9-branes acting as sources. They correspond to the 11D uplift of the characteristic D8’s of Romans supergravity. To this end, we explicitly show that some of the background singularities of the massive M2-brane can be reproduced by the M9-branes found by [3]. This establishes a relation between the Romans mass and the moduli of the massive M2-brane.When dimensionally reduced, we obtain a worldsheet Hamiltonian of a N=2 type IIA closed superstring in 10D. We denote it massive string. The corresponding massive string inherits a non-vanishing constant term from the topological massive M2-brane that shifts the Hamiltonian. The non-vanishing parameter is related to the non-trivial structure of the massive M2-brane background and it can be related to the Romans mass term. It also contains a modified tension due to the non-trivial dependence on the moduli and on the punctures associated with the target torus.

show abstract

10D massive type IIA supergravities as the uplift of parabolic M2‐brane torus bundles

Cited by 4 publications

References 27 publications

The massive supermembrane on a knot

The massive supermembrane on a knot

Vaidya spacetime in massive gravity's rainbow

Worldsheet description of a massive type IIA superstring in 10D

Contact Info

Product

Resources

About