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Super Yang-Mills theory as a random matrix model

Journal Article · · Physical Review, D
 [1]
  1. Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840 (United States)
We generalize the Gervais-Neveu gauge to four-dimensional {ital N}=1 superspace. The model describes an {ital N}=2 super Yang-Mills theory. All chiral superfields ({ital 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 {ital 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.
OSTI ID:
69561
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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