Supersymmetric matrix models and branched polymers
arXiv:cond-mat/9606041 · doi:10.1016/S0550-3213(96)00526-3
Abstract
We solve a supersymmetric matrix model with a general potential. While matrix models usually describe surfaces, supersymmetry enforces a cancellation of bosonic and fermionic loops and only diagrams corresponding to so-called branched polymers survive. The eigenvalue distribution of the random matrices near the critical point is of a new kind.
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