Comments on Supersymmetric Vector and Matrix Models

Details Comments on Supersymmetric Vector and Matrix Models Comments on Supersymmetric Vector and Matrix Models

1991-11-15

arxiv.org/abs/hep-th/9111030v1

Class.Quant.Grav.9:L21-L26,1992

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1088/0264-9381/9/2/001

Some results in random matrices are generalized to supermatrices, in particular supermatrix integration is reduced to an integration over the eigenvalues and the resulting volume element is shown to be equivalent to a one dimensional Coulomb gas of both positive and negative charges.It is shown that,for polynomial potentials, after removing the instability due to the annihilation of opposite charges, supermatrix models are indistinguishable from ordinary matrix models, in agreement with a recent result by Alvarez-Gaume and Manes. It is pointed out however that this may not be true for more general potentials such as for instance the supersymmetric generalization of the Penner model.

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