Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models

Abstract

We give a simple - straightforward and rigorous - derivation that when the eigenvalues of one of the $d=9(5,3,2)$ matrices in the SU(N) invariant supersymmetric matrix model become large (and well separated from each other) the ground-state wavefunction (resp. asymptotic zero-energy solution of the corresponding differential equation) factorizes, for all $N>1$, into a product of supersymmetric harmonic oscillator wavefunctions (involving the `off-diagonal' degrees of freedom) and a wavefunction $\psi$ that is annihilated by the free supercharge formed out of all `diagonal' (Cartan sub-algebra) degrees of freedom.

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Cited by in corpus (8)

• Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
• The ground state of the D=11 supermembrane and matrix models on compact regions
• Spiky membranes
• Octonionic twists for supermembrane matrix models
• Light-cone SU(2) Yang-Mills theory and conformal mechanics
• Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
• Measure of the potential valleys of the supermembrane theory
• Optimized Fock space in the large N limit of quartic interactions in Matrix Models