Spectral properties in supersymmetric matrix models

Lyonell Boulton, Maria Pilar Garcia del Moral, Alvaro Restuccia

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-supersymmetric theories with a fermionic contribution. This criterion allows an analysis of Hamiltonians in complete form rather than just their semiclassical limits. In such a framework we examine spectral properties of various (1+0) matrix models. We consider the BMN model of M-theory compactified on a maximally supersymmetric pp-wave background, different regularizations of the supermembrane with central charges and a non-supersymmetric model comprising a bound state of N D2 with m D0. While the first two examples have a purely discrete spectrum, the latter has a continuous spectrum with a lower end given in terms of the monopole charge.
Original languageEnglish
Pages (from-to)716-747
Number of pages31
JournalNuclear Physics B
Volume856
Issue number3
DOIs
Publication statusPublished - 21 Mar 2012

Keywords

  • Spectrum
  • Supersymmetric matrix models
  • BMN model
  • Supermembrane with central charges

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