Alvaro Restuccia

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The action of the 11D supermembrane with nontrivial central charges compactified on a 7D toroidal manifold is obtained. It describes a supermembrane evolving in a 4d Minkowski space-time. The action is invariant under additional symmetries in comparison to the supermembrane on a Minkowski target space. The hamiltonian in the LCG is invariant under conformal(More)
We study the quantization of the regularized hamil-tonian, H, of the compactified D = 11 supermembrane with non-trivial winding. By showing that H is a relatively small perturbation of the bosonic hamiltonian, we construct a Dyson-type series for the heat kernel of H and prove its convergence in the topology of the von Neumann-Schatten classes so that e −Ht(More)
We construct the Hamiltonian of the D = 11 Supermembrane with topological conditions on configuration space. It may be interpreted as a supermembrane theory where all configurations are wrapped in an irre-ducible way on a calibrated submanifold of a compact sector of the target space. We prove that the spectrum of its Hamiltonian is discrete with finite(More)
The spectrum of the bosonic sector of the D = 11 Supermembrane with central charges is shown to be discrete with finite multiplicity, hence containing a mass gap. This result extends to the exact theory our previous proof of a similar result for the SU (N) regularized model. Based on these and other previous results, it is also argued that the same(More)
We discuss the consistency of the D = 11 supermembranes with non zero central charge arising from a nontrivial winding CSNW. The spectrum of its regularized Hamiltonian is discrete ans its heat kernel in terms of a Feynman formula may be rigorously constructed. The N → ∞ limit is discussed. Since CSNW is equivalent to a noncommutative supersymmetric gauge(More)
In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so, we first set up a global formulation for noncommutative Yang Mills theory over general symplectic manifolds. We make(More)
We present the complete set of N = 1, D = 4 quantum algebras associated to massive superparticles. We obtain the explicit solution of these algebras realized in terms of unconstrained operators acting on the Hilbert space of superfields. These solutions are expressed in terms of the chiral, anti-chiral and tensorial projectors which define the three(More)
The SL(2, Z) duality symmetry of IIB superstring is naturally realized on the D = 11 supermembrane restricted to have central charges arising from a nontrivial wrapping. This supermembrane is minimally immersed on the target space (MIM2). The hamiltonian of the MIM2 has a discrete quantum spectrum. It is manifestly invariant under the SL(2, Z) symmetry(More)