Super Yang-Mills Theory as a Random Matrix Model

Abstract

We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian scalar superfield (matrix) has a renormalizable massive propagator and simplified vertices. These properties are associated with N=1 supergraphs describing a superstring theory on a random lattice world-sheet. We also consider all possible finite matrix models, and find they have a universal large-color limit. These could describe gravitational strings if the matrix-model coupling is fixed to unity, for exact electric-magnetic self-duality.

15 pg., uuencoded compressed postscript file (.ps.Z.uu), other formats (.dvi, .ps, .ps.Z, 8-bit .tex) available at http://insti.physics.sunysb.edu/~siegel/preprints/ or at ftp://max.physics.sunysb.edu/preprints/siegel

References in corpus (7)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Classical and Quantized Tensionless Strings
• Hidden Gravity in Open-String Field Theory
• Randomizing the Superstring
• Hamiltonian BRST Quantization of the Conformal String
• Non-Abelian Strong-Weak Coupling Duality in (String-Derived) N=4 Supersymmetric Yang-Mills Theories
• A New Sigma Model Action for the Four-Dimensional Green-Schwarz Heterotic Superstring

Cited by in corpus (2)

• Subcritical Superstrings
• Spontaneously Broken Gauge Symmetry in SUSY Yang-Mills Theories with Matter