A supermembrane with central charges on a G2 manifold

Belhaj, A.; Moral, M. P. García del; Restuccia, A.; Seguí, A.; Veiro, J. P.

doi:10.1088/1751-8113/42/32/325201

Cited by 15 publications

(10 citation statements)

References 72 publications

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“…In [4] a N=1 target space, D=4 formulation of a single supermembrane minimally immersed together with a number of interesting phenomenological properties were found. Moreover in [6] a formulation of the supermembrane minimally immersed on a G2 manifold was also obtained. Its quantum supersymmetric spectrum is also purely discrete.…”

Section: Resultsmentioning

confidence: 99%

“…In [6]we constructed of the supermembrane with the topological restriction on an orbifold with G 2 structure that can be ultimately deformed to lead to a true G2 manifold. All the discussion of the symmetries on the Hamiltonian was performed directly in the Feynman path integral, at the quantum level, then valid by virtue of our previous proofs.…”

Section: Quantum Supersymmetric Analysis Of a Single Mim2mentioning

confidence: 99%

“…The supermembrane with a topological restriction associated to an irreducible winding has been shown to have very interesting properties: discreteness of the supersymmetric spectrum [1,2,3], spontaneous breaking of supersymmetry, stabilization of most of the moduli [4], a spectrum containing dyonic strings plus pure supermembrane excitations [5], formulation on a G2 manifold [6]. This restriction can be seen at algebraic level as a central charge condition on the 11D supersymmetric algebra and geometrically as a condition of being minimally immersed into the target space [7], so from now on, we will denote it as MIM2.…”

Section: Introductionmentioning

confidence: 99%

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A $$ \mathcal{N} = 8 $$ action for multiple M2-branes with an arbitrary number of colors

Moral

Restuccia

2010

J. High Energ. Phys.

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We obtain a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG). The theory realizes all of the symmetries and constraints of the supermembrane together with the invariance under a U(M) gauge group with M arbitrary. The worldvolume action has (LCG) N = 8 supersymmetry and it corresponds to M parallel supermembranes minimally immersed on the target M 9 xT 2 (MIM2). In order to ensure the invariance under the symmetries and to close the corresponding algebra, a star-product determined by the central charge condition is introduced. It is constructed with a nonconstant symplectic two-form where curvature terms are also present. The theory is in the strongly coupled gaugegravity regime. At low energies, the theory enters in a decoupling limit and it is described by an ordinary N = 8 SYM in the IR phase for any number of M2-branes. We analyze also other limits of the theory: We consider the number of supermembranes going to infinity. All of the symmetries are realized in this case with the ordinary product and they correspond to a condensate of M2-branes. If we consider, instead of the exact action, its matrix regularized version, for suitable large N but with a finite number of colors, the algebra of the first class-constraints also closes with the ordinary product and we obtain a regularized 2+1D SU(M) SYM theory in the IR phase that is coupled to the SU(N) regularized supermembrane action. The supersymmetric regularized theory with the ordinary product has purely discrete spectrum. Our theory with the star-product is a full-fledged description of multiple M2-branes minimally immersed in distinction with other constructions that represent multiple M2-branes in the low energy approximation.

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Section: Resultsmentioning

confidence: 99%

Section: Quantum Supersymmetric Analysis Of a Single Mim2mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A $$ \mathcal{N} = 8 $$ action for multiple M2-branes with an arbitrary number of colors

Moral

Restuccia

2010

J. High Energ. Phys.

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“…In this paper we discuss the geometry of these compact spaces from the point of view of holonomy groups and string dualities; we focus mainly on the mathematical side of the new constructions. The preferred extra freedoms are needed for a total of ten, eleven or twelve dimensions: superstrings live in ten (whereas the bosonic string needs 26), but M-Theory (Witten, 1995) prefers 11 [2,3,4,5,6,7,8,9,10] , and F-Theory (Vafa, 1996(Vafa, , 2008) uses 12 [11,12,13,14,15,16,17].…”

Section: Why Extra Dimenionsmentioning

confidence: 99%

Holonomy Groups Coming from F-Theory Compactification

2010

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We study holonomy groups coming from F-theory compactifications. We focus mainly on SO(8) as 12 − 4 = 8 and subgroups SU (4), Spin(7), G 2 and SU (3) suitable for descent from F-theory, M-theory and Superstring theories. We consider the relation of these groups with the octonions, which is striking and reinforces their role in higher dimensions and dualities. These holonomy groups are related in various mathematical forms, which we exhibit.

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“…Accordingly, the principal hexagonal unit cell has now in all 12 atoms leading to (1×1) and ( √ 3 × √ 3)R30 • superstructures on the two parallel sheets divided by a length distance fixed by the relaxation method. Thanks to the use of WIEN2K code whose basis is on the DFT method [19,20], the properties of the double hexagonal material have been computed or worked out. It is worth noting here that these properties are electronic and magnetic.…”

Section: Introductionmentioning

confidence: 99%

Mixed Spins in a Nano-system Built on a Dendrimer Structure: Monte Carlo Study

Arejdal

Jabar

Bahmad

et al. 2015

J Supercond Nov Magn

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In this work, we investigate a nano-system built on a hexagonal dendrimer structure, for mixed spins σ = 2 and S = 3/2. First, we study this system in the presence/absence of both an external and crystal magnetic fields. The study of the effect of the coupling exchange interactions and the determination of the ground state phase diagrams are discussed. On the other hand, we focus our interest on the study and determination of these parameters. The elaboration and the discussion of all the stable phases have been outlined. A theoretical study by Monte Carlo simulations (MCS) in the framework of the Ising model is used to find out the understanding of the magnetic properties of this system. The obtained results by means of MCS simulations are the critical temperature and the compensation temperature.For fixed values of the coupling exchange interactions and temperature, the hysteresis loop is established, in order to complete this study.

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A supermembrane with central charges on a G2 manifold

Cited by 15 publications

References 72 publications

A $$ \mathcal{N} = 8 $$ action for multiple M2-branes with an arbitrary number of colors

A $$ \mathcal{N} = 8 $$ action for multiple M2-branes with an arbitrary number of colors

Holonomy Groups Coming from F-Theory Compactification

Mixed Spins in a Nano-system Built on a Dendrimer Structure: Monte Carlo Study

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