The ground state of the D = 11 supermembrane and matrix models on compact regions

Lyonell Boulton, Maria Pilar Garcia del Moral, Alvaro Restuccia

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
82 Downloads (Pure)

Abstract

We establish a general framework for the analysis of boundary value problems of matrix models at zero energy on compact regions. We derive existence and uniqueness of ground state wavefunctions for the mass operator of the D=11 regularized supermembrane theory, that is the N=16 supersymmetric SU(N) matrix model, on balls of finite radius. Our results rely on the structure of the associated Dirichlet form and a factorization in terms of the supersymmetric charges. They also rely on the polynomial structure of the potential and various other supersymmetric properties of the system.
Original languageEnglish
Pages (from-to)665-684
Number of pages20
JournalNuclear Physics B
Volume910
Early online date28 Jul 2016
DOIs
Publication statusPublished - Sep 2016

Fingerprint Dive into the research topics of 'The ground state of the D = 11 supermembrane and matrix models on compact regions'. Together they form a unique fingerprint.

Cite this