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

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.

16 pages, final version

References in corpus (4)

• On The spectrum of a Noncommutative Formulation of the D=11 Supermembrane with Winding
• On the spectrum of a matrix model for the D=11 supermembrane compactified on a torus with non-trivial winding
• Symplectic connections, Noncommutative Yang Mills theory and Supermembranes
• A Quantum Mechanical Model of Spherical Supermembranes

Cited by in corpus (34)

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• On global aspects of duality invariant theories: M2-brane vs DFT
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