Matrix Models and Gravitational Corrections

Details Matrix Models and Gravitational Corrections Matrix Models and Gravitational Corrections

2002-11-25

arxiv.org/abs/hep-th/0211241v3

Adv.Theor.Math.Phys. 7 (2004) 1155-1176

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure. References added and minor corrections

Scientific paper

We provide evidence of the relation between supersymmetric gauge theories and matrix models beyond the planar limit. We compute gravitational R^2 couplings in gauge theories perturbatively, by summing genus one matrix model diagrams. These diagrams give the leading 1/N^2 corrections in the large N limit of the matrix model and can be related to twist field correlators in a collective conformal field theory. In the case of softly broken SU(N) N=2 super Yang-Mills theories, we find that these exact solutions of the matrix models agree with results obtained by topological field theory methods.

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