Spectral properties in supersymmetric matrix models
arXiv:1011.4791 · doi:10.1016/j.nuclphysb.2011.11.017
Abstract
We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-su-persymmetric 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.
40 pages, 5 figures
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- The Massive Supermembrane on a Knot
- Massless ground state for a compact SU(2) matrix model in 4D
- Supersymmetric algebra of the massive supermembrane
- A New Mechanism for Gauging a Theory
- On the Spectral properties of Multi-branes, M2 and M5 branes
- Arguments towards the construction of a matrix model groundstate
- D2-brane with RR and NSNS fluxes and its dual M-theory origin