Matrix Models and Gravitational Corrections

Abstract

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.

18 pages, 1 figure. References added and minor corrections

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Cited by in corpus (8)

• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• Multi-Trace Superpotentials vs. Matrix Models
• Gravity Induced C-Deformation
• Higher order loop equations for A_r and D_r quiver matrix models
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• Gravitational F-terms of N=1 Supersymmetric SU(N) Gauge Theories
• Strings, Integrable Systems, Geometry and Statistical Models
• Instanton calculus and chiral one-point functions in supersymmetric gauge theories