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

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

2002-11-06

arxiv.org/abs/hep-th/0211047v4

Nucl.Phys. B671 (2003) 343-358

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, final version

Scientific paper

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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