Weighted Supermembrane Toy Model

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 Schrödinger operator.

18 pages, 2 figures; to appear in Lett. Math. Phys.

References in corpus (3)

• Classical trajectories and quantum supersymmetry
• On the Geometry of Supersymmetric Quantum Mechanical Systems
• Number of Bound States of Schroedinger Operators with Matrix-Valued Potentials

Cited by in corpus (4)

• Spectral properties in supersymmetric matrix models
• Sharp spectral estimates in domains of infinite volume
• Spectral analysis of a class of Schroedinger operators exhibiting a parameter-dependent spectral transition
• Optimized Fock space in the large N limit of quartic interactions in Matrix Models