Spectral properties in supersymmetric matrix models

Boulton L.; del Moral, MPG; Restuccia, A

Keywords: spectrum, Supersymmetric matrix models, BMN model, Supermembrane with central charges

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 in 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. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.

Más información

Título según WOS: Spectral properties in supersymmetric matrix models
Título de la Revista: NUCLEAR PHYSICS B
Volumen: 856
Número: 3
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2012
Página de inicio: 716
Página final: 747
Idioma: English
DOI:

10.1016/j.nuclphysb.2011.11.017

Notas: ISI