On the spectrum of a matrix model for the D $equal$ 11 supermembrane compactified on a torus with non-trivial winding

Boulton, Lyonell; Moral, M. P. García del; Martı́n, I.; Restuccia, A.

doi:10.1088/0264-9381/19/11/313

Cited by 27 publications

(58 citation statements)

References 10 publications

(23 reference statements)

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“…The image of under this map is a calibrated submanifold of T 6 . The spectrum of the theory changes dramatically since it has a pure discrete spectrum at the classical and the quantum levels [38][39][40][41]43]; see also [42,45] 7 . The model that we study here involves additional symmetries beyond the original ones [41] which will be crucial in our coming discussion.…”

Section: M2 With Central Charges Associated With An Irreducible Windingmentioning

confidence: 99%

A supermembrane with central charges on a G2 manifold

Belhaj¹,

Moral²,

Restuccia³

et al. 2009

J. Phys. A: Math. Theor.

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We construct an 11D supermembrane with topological central charges induced through an irreducible winding on a G2 manifold realized from the T 7 /Z 3 2 orbifold construction. The Hamiltonian H of the theory on a T 7 target has a discrete spectrum. Within the discrete symmetries of H associated with large diffeomorphisms, the Z 2 ×Z 2 ×Z 2 group of automorphisms of the quaternionic subspaces preserving the octonionic structure is relevant. By performing the corresponding identification on the target space, the supermembrane may be formulated on a G2 manifold, preserving the discreteness of its supersymmetric spectrum. The corresponding 4D low energy effective field theory has N = 1 supersymmetry.

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Section: M2 With Central Charges Associated With An Irreducible Windingmentioning

confidence: 99%

A supermembrane with central charges on a G2 manifold

Belhaj¹,

Moral²,

Restuccia³

et al. 2009

J. Phys. A: Math. Theor.

Self Cite

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“…To be specific let us consider the case in which Σ is a torus and the compactified target space is M 9 × S 1 × S 1 [16,4,17], although more general compactified target spaces for which there exists a minimal immersion from Σ into the target space may also be treated along the lines we follow here [18].…”

Section: The Supermembrane In M 9 × σmentioning

confidence: 99%

“…It is a solution of the supermembrane field equations which preserves one half of the original supersymmetry. The most general configuration space and hamiltonian for the supermembrane with the above base manifold and target space with a non-trivial central charge was obtained in [4,17,16] and shown to have a discrete spectrum. We are interested here in the quantization of the corresponding superparticle with non-trivial central charges.…”

Section: Pos(ic2006)069mentioning

confidence: 99%

On the Quantization of Massive Superparticles

Hatcher¹,

Restuccia²,

Stephany³

2007

Proceedings of Fifth International Conference on Mathematical Methods in Physics — PoS(IC2006)

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We consider the action of the D = 11 supermembrane wrapping a compactified sector of the target space in such a way that a non trivial central charge in the SUSY algebra is induced. We show that the dynamics of the center of mass corresponds to a superparticle in D = 9 with additional fermionic terms associated to the central charges . We perform the covariant quantization of this system following a direct approach which introduces an equivalent action for the system which has only first class constraints allowing to obtain the space of physical states in a covariant way. The resulting multiplet contains 2 8 states corresponding to a KKB ultrashort multiplet.

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“…This would be of great help in understanding, for example, the quantum behavior of the supermembrane and super D-brane theories. [15][16][17] …”

Section: Lϭmentioning

confidence: 99%

Supersymmetric exact sequence, heat kernel and super Korteweg–de Vries hierarchy

Andrea

Restuccia

Sotomayor

2004

Journal of Mathematical Physics

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A unified and complete construction of all finite dimensional irreducible representations of gl (2 | 2) Level-one representations and vertex operators of quantum affine superalgebra U q [gl(N̂ |N)] We study the level-one irreducible highest weight representations of the quantum affine superalgebra U q sl(N ˆ 1), and calculate their characters and supercharac-ters. We obtain bosonized q-vertex operators acting on the irreducible U q sl(N ˆ 1) modules and derive the exchange relations satisfied by the vertex operators. We give the bosonization of the multicomponent super tJ model by using the bosonized vertex operators.

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On the spectrum of a matrix model for the D $equal$ 11 supermembrane compactified on a torus with non-trivial winding

Cited by 27 publications

References 10 publications

A supermembrane with central charges on a G2 manifold

A supermembrane with central charges on a G2 manifold

On the Quantization of Massive Superparticles

Supersymmetric exact sequence, heat kernel and super Korteweg–de Vries hierarchy

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