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

M. Bordemann·J. Hoppe·R. Suter
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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.}

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M. Bordemann, J. Hoppe, R. Suter. 1999-10-04. Zero Energy States for SU(N): A Simple Exercise in Group Theory ?. https://arxiv.org/abs/hep-th/9909191

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