On the spectrum of a matrix model for the D = 11 supermembrane compactified on a torus with non-trivial winding

L. Boulton, M. P. García del Moral, I. Martín, A. Restuccia

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The spectrum of the Hamiltonian of the double compactified D = 11 supermembrane with non-trivial central charge or, equivalently, the non-commutative symplectic super Maxwell theory, is analysed. In distinction to what occurs for the D = 11 supermembrane in Minkowski target space where the bosonic potential presents string-like spikes which render the spectrum of the supersymmetric model continuous, we prove that the potential of the bosonic compactified membrane with non-trivial central charge is strictly positive definite and becomes infinity in all directions when the norm of the configuration space goes to infinity. This ensures that the resolvent of the bosonic Hamiltonian is compact. We find an upper bound for the asymptotic distribution of the eigenvalues.

Original languageEnglish
Pages (from-to)2951-2959
Number of pages9
JournalClassical and Quantum Gravity
Volume19
Issue number11
DOIs
Publication statusPublished - 7 Jun 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'On the spectrum of a matrix model for the D = 11 supermembrane compactified on a torus with non-trivial winding'. Together they form a unique fingerprint.

Cite this