Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models

Abstract

We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model related to supermembranes in d+2 dimensions.

LaTeX, 18 pages Introduction amended

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• Membranes and Matrix Models
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• On Stable Sector in Supermembrane Matrix Model
• Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
• Zero Energy States for SU(N): A Simple Exercise in Group Theory ?
• Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models
• On the Geometry of Supersymmetric Quantum Mechanical Systems
• Towards the Ground State of the Supermembrane
• The ground state of the D=11 supermembrane and matrix models on compact regions
• 0-brane Quantum Chemistry
• Spiky membranes
• No zero energy states for the supersymmetric x^2y^2 potential
• SUSY in Silico: numerical D-brane bound state spectroscopy
• Existence of the D0-D4 Bound State: a detailed Proof
• On the groundstate of octonionic matrix models in a ball
• Octonionic twists for supermembrane matrix models
• On the Ground State Wave Function of Matrix Theory
• Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
• Measure of the potential valleys of the supermembrane theory
• D-Particle Feynman Graphs And Their Amplitudes
• Existence of a Supersymmetric Massless Ground State of the $SU(N)$ Matrix Model globally on its Valleys
• Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States
• A note on BRST quantization of SU(2) Yang-Mills mechanics
• Optimized Fock space in the large N limit of quartic interactions in Matrix Models