Weighted Supermembrane Toy Model
Mathematical Physics
2014-11-18 v3 High Energy Physics - Theory
math.MP
Spectral Theory
Abstract
A weighted Hilbert space approach to the study of zero-energy states of supersymmetric matrix models is introduced. Applied to a related but technically simpler model, it is shown that the spectrum of the corresponding weighted Hamiltonian simplifies to become purely discrete for sufficient weights. This follows from a bound for the number of negative eigenvalues of an associated matrix-valued Schr\"odinger operator.
Cite
@article{arxiv.0904.4517,
title = {Weighted Supermembrane Toy Model},
author = {Douglas Lundholm},
journal= {arXiv preprint arXiv:0904.4517},
year = {2014}
}
Comments
18 pages, 2 figures; to appear in Lett. Math. Phys.