Marinari-Parisi and Supersymmetric Collective Field Theory
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.
- Publication:
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International Journal of Modern Physics A
- Pub Date:
- 1993
- DOI:
- 10.1142/S0217751X93001004
- arXiv:
- arXiv:hep-th/9204061
- Bibcode:
- 1993IJMPA...8.2517R
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 45 pages