Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories
Keywords: p-branes, Polynomial potentials, Discrete spectrum, Multiple M2 branes, BLG theories, ABJM theories
Abstract
We obtain a general class of polynomial potentials for which the Schrodinger operator has a discrete spectrum This class includes all the scalar potentials in membrane. 5-brane, p-branes, multiple M2 branes, BLG and ABJM theories We provide a proof of the discreteness of the spectrum of the associated Schrodinger operators. This is the first step in order to analyze BLG and ABJM supersymmetric theories from a non-perturbative point of view. (C) 2010 Elsevier B V All rights reserved
Más información
Título según WOS: | Spectral analysis of polynomial potentials and its relation with ABJ/M-type theories |
Título de la Revista: | NUCLEAR PHYSICS B |
Volumen: | 839 |
Número: | 1-2 |
Editorial: | ELSEVIER SCIENCE BV |
Fecha de publicación: | 2010 |
Página de inicio: | 112 |
Página final: | 128 |
Idioma: | English |
DOI: |
10.1016/j.nuclphysb.2010.06.003 |
Notas: | ISI |