Zero Energy States for SU(N): A Simple Exercise in Group Theory ?

Abstract

We show that the requirement of $S_3\times Spin(d)$ invariance for a ``asymptotically free'' SU(3)-Cartan subalgebra wave-function does {\em not} give a unique candidate for a SU(3)-invariant zero energy state of the d=9 supersymmetric matrix model - nor does it rule out the existence of such a state in the case d=3. For d=9 we explicitly construct various $S_3\times Spin(9)$-invariant wave-functions.}

9 pages, latex2e with amssymb, latexsym, amsmath, amsfonts; minor corrections, note added

References in corpus (5)

• Normalized Vacuum States in N = 4 Supersymmetric Yang--Mills Quantum Mechanics with Any Gauge Group
• Asymptotic Search for Ground States of SU(2) Matrix Theory
• Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models
• On Asymptotic Hamiltonian for SU(N) Matrix Theory
• Asymptotic Ground State for 10 Dimensional Reduced Supersymmetric SU(2) Yang Mills Theory

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• The ground state of the D=11 supermembrane and matrix models on compact regions
• Spiky membranes
• Octonionic twists for supermembrane matrix models
• Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
• Optimized Fock space in the large N limit of quartic interactions in Matrix Models