Discreteness of the spectrum of the compactified D = 11 supermembrane with nontrivial winding

Nov, 2002
13 pages
Published in:
  • Nucl.Phys.B 671 (2003) 343-358
e-Print:

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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.
Note:
  • 16 pages, final version
  • membrane model
  • supersymmetry
  • dimension: 11
  • light cone gauge
  • quantization
  • Hamiltonian formalism
  • compactification
  • energy spectrum