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On the Construction of Zero Energy States in Supersymmetric Matrix Models

Jens Hoppe
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Abstract

For the SU(N) invariant supersymmetric matrix model related to membranes in 4 space-time dimensions, the general solution to the equation(s) $Q^{\dagger}Ψ=0$ $(Qχ=0)$ is determined for N odd. For any such (bosonic) solution of $Q^{\dagger}Ψ=0$, a (fermionic) $Φ$ is found that (formally) satisfies $Q^{\dagger}Φ=Ψ$. For the analogous model in 11 dimensions the solution of $Q^{\dagger}Ψ=0 (QΨ=0)$ is outlined.

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Jens Hoppe. 1997-09-19. On the Construction of Zero Energy States in Supersymmetric Matrix Models. https://arxiv.org/abs/hep-th/9709132

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