Massless ground state for a compact SU(2) matrix model in 4D
L. Boulton, M.P. Garcia del Moral, A. Restuccia
TL;DR
This paper proves the existence and uniqueness of a massless supersymmetric ground state wavefunction in a 4D SU(2) matrix model with boundary conditions, offering a new analytical framework for such gauge systems.
Contribution
It introduces a novel framework to analyze the spectral properties of supersymmetric matrix models with constraints, applicable to arbitrary color numbers.
Findings
Existence of a unique massless ground state wavefunction
Framework applicable to models with any number of colors
Analysis of spectral properties under boundary conditions
Abstract
We show the existence and uniqueness of a massless supersymmetric ground state wavefunction of a SU(2) matrix model in a bounded smooth domain with Dirichlet boundary conditions. This is a gauge system and we provide a new framework to analyze the quantum spectral properties of this class of supersymmetric matrix models subject to constraints which can be generalized for arbitrary number of colors.
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