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Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding

L. Boulton·M. P. Garcia del Moral·A. Restuccia
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Abstract

We analyze the Hamiltonian of the compactified D=11 supermembrane with non-trivial central charge in terms of the matrix model constructed recently by some of the authors. Our main result provides a rigorous proof that the quantum Hamiltonian of the supersymmetric model has compact resolvent and thus its spectrum consists of a discrete set of eigenvalues with finite multiplicity.

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L. Boulton, M. P. Garcia del Moral, A. Restuccia. 2004-05-24. Discreteness of the spectrum of the compactified D=11 supermembrane with non-trivial winding. https://doi.org/10.1016/j.nuclphysb.2003.08.024

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