On the Construction of Zero Energy States in Supersymmetric Matrix Models

Details On the Construction of Zero Energy States in Supersymmetric Matrix Models On the Construction of Zero Energy States in Supersymmetric Matrix Models

1997-09-18

arxiv.org/abs/hep-th/9709132v2

Physics

High Energy Physics

High Energy Physics - Theory

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Scientific paper

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

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