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arXiv · hep-th/9204061

Marinari-Parisi and Supersymmetric Collective Field Theory

J. P. Rodrigues·A. J. van Tonder
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Abstract

A field theoretic formulation of the Marinari-Parisi supersymmetric matrix model is established and shown to be equivalent to a recently proposed supersymmetrization of the bosonic collective string field theory. It also corresponds to a continuum description of super-Calogero models. The perturbation theory of the model is developed and, in this approach, an infinite sequence of vertices is generated. A class of potentials is identified for which the spectrum is that of a massless boson and Majorana fermion. For the harmonic oscillator case, the cubic vertices are obtained in an oscillator basis. For a rather general class of potentials it is argued that one cannot generate from Marinari-Parisi models a continuum limit similar to that of the d=1 bosonic string.

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J. P. Rodrigues, A. J. van Tonder. 1992-04-20. Marinari-Parisi and Supersymmetric Collective Field Theory. https://doi.org/10.1142/s0217751x93001004

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