Supersymmetric matrix models and branched polymers

Details Supersymmetric matrix models and branched polymers Supersymmetric matrix models and branched polymers

1996-06-07

arxiv.org/abs/cond-mat/9606041v1

Nucl.Phys. B482 (1996) 660-674

Physics

Condensed Matter

xx pages, Latex, no macros needed

Scientific paper

10.1016/S0550-3213(96)00526-3

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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