Spectrum of a noncommutative formulation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>11</mml:mn><mml:mn /></mml:math>supermembrane with winding

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

doi:10.1103/physrevd.66.045023

Cited by 35 publications

(70 citation statements)

References 16 publications

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“…This regularization of the supermembrane with central charges was proposed in [24]. It is invariant under infinitesimal transformations generated by the first class constraint obtained by variations on Λ of the Hamiltonian below.…”

Section: Su(n ) Regularizationmentioning

confidence: 99%

“…As a consequence of the results found in [7], beyond the semiclassical approximation analyzed in [22], and due to its spectral properties the 11D supermembrane was considered as a second quantized object, and in this sense only be defined macroscopically. The compactified supermembrane was further studied in [23] and also in [24], showing that the classical instabilities like string-like spikes could not be ruled out simply by means of the compactification process. We showed in [15], and now we provide additional evidence, that this argumentation does not carry out to the case of the regularized supermembrane with central charge.…”

Section: Aims and Scopes Of The Present Papermentioning

confidence: 99%

“…The invariance of the action of the supermembrane with central charges in the LCG under the area preserving diffeomorphisms allows to fix a gauge [24]. Under this gauge fixing, the expressions for A 1 and A 2 are the following (in the finite-dimensional case we are considering A r , X m ∈ Span{Y A : A ∈ N }): …”

Section: A Top-down Truncation: the Regularized States Spacementioning

confidence: 99%

“…This first class constraint satisfies an SU(N ) algebra. The resulting Hamiltonian proposed in [24] has the form…”

Section: Su(n ) Regularizationmentioning

confidence: 99%

“…See [24] for details of the gauge fixing procedure. We use the Heisenberg-Weyl generators T (p,q) to express the SU(N )-valued objects.…”

Section: Su(n ) Regularizationmentioning

confidence: 99%

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Spectral properties in supersymmetric matrix models

Boulton¹,

Moral²,

Restuccia³

2012

Nuclear Physics B

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We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-supersymmetric theories with a fermionic contribution. This criterion allows an analysis of Hamiltonians in complete form rather than just their semiclassical limits. In such a framework we examine spectral properties of various (1 + 0) matrix models. We consider the BMN model of M-theory compactified on a maximally supersymmetric pp-wave background, different regularizations of the supermembrane with central charges and a non-supersymmetric model comprising a bound state of N D2 with m D0. While the first two examples have a purely discrete spectrum, the latter has a continuous spectrum with a lower end given in terms of the monopole charge. Crown

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Section: Su(n ) Regularizationmentioning

confidence: 99%

Section: Aims and Scopes Of The Present Papermentioning

confidence: 99%

Section: A Top-down Truncation: the Regularized States Spacementioning

confidence: 99%

“…This first class constraint satisfies an SU(N ) algebra. The resulting Hamiltonian proposed in [24] has the form…”

Section: Su(n ) Regularizationmentioning

confidence: 99%

“…See [24] for details of the gauge fixing procedure. We use the Heisenberg-Weyl generators T (p,q) to express the SU(N )-valued objects.…”

Section: Su(n ) Regularizationmentioning

confidence: 99%

See 3 more Smart Citations

Spectral properties in supersymmetric matrix models

Boulton¹,

Moral²,

Restuccia³

2012

Nuclear Physics B

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Exact discreteness and mass gap of N = 1 symplectic Yang‐Mills from M‐theory

Boulton¹,

Moral

Restuccia

2007

Fortschritte der Physik

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In this note we summarize some of the results found recently in [1]. We show the pure discreteness of the non‐perturbative quantum spectrum of a symplectic Yang‐Mills theory defined on a Riemann surface of positive genus, living in a target space that, in particular, can be 4D. This theory corresponds to the membrane with central charges. The presence of the central charge induces a confinement in the phase at zero temperature. When the energy rises, the center of the group breaks and the theory enters in a quark‐plasma phase after a topological transition, corresponding to the N = 4 wrapped supermembrane.

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The minimally immersed 4D supermembrane

Moral¹,

Peña

Restuccia

2008

Fortschritte der Physik

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In this note we summarize some of the properties found in [1], and its relation with [2]. We comment on the construction of the action of the 11D supermembrane with nontrivial central charges minimally immersed on a 7D toroidal manifold is obtained (MIM2).The transverse coordinates to the supermembrane are maps to a 4D Minkowski space‐time. The action is invariant under additional symmetries in comparison to the supermembrane on a 11D Minkowski target space. The hamiltonian in the LCG is invariant under conformal transformations on the Riemann surface base manifold. The spectrum of the regularized hamiltonian is discrete with finite multiplicity. Its resolvent is compact. Susy is spontaneously broken, due to the topological central charge condition, to four supersymmetries in 4D, the vacuum belongs to an N = 1 supermultiplet. When assuming the target‐space to be an isotropic 7‐tori, the potential does not contain any flat direction, it is stable on the moduli space of parameters. Moreover due to the discrete symmetries of the hamiltonian, there are only 7 possible minimal holomorphic immersions of the MIM2 on the 7‐torus. When these symmetries are identified on the target space, it corresponds to compactify the MIM2 on a orbifold with G2 structure. Once the singularities are resolved it leads to the compactification of the MIM2 on a G2 manifold as shown in [2].

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Spectrum of a noncommutative formulation of theD=11supermembrane with winding

Cited by 35 publications

References 16 publications

Spectral properties in supersymmetric matrix models

Spectral properties in supersymmetric matrix models

Exact discreteness and mass gap of N = 1 symplectic Yang‐Mills from M‐theory

The minimally immersed 4D supermembrane

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