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

D. Hasler·J. Hoppe
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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 $ψ$ that is annihilated by the free supercharge formed out of all `diagonal' (Cartan sub-algebra) degrees of freedom.

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D. Hasler, J. Hoppe. 2002-06-05. Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models. https://arxiv.org/abs/hep-th/0206043

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