On the Construction of Zero Energy States in Supersymmetric Matrix Models

Abstract

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

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Cited by in corpus (3)

• On Asymptotic Hamiltonian for SU(N) Matrix Theory
• Spiky membranes
• Dbrane boundstate wavefunctions