Advances in Theoretical and Mathematical Physics
- Adv. Theor. Math. Phys.
- Volume 7, Number 6 (2003), 1155-1174.
Matrix Models and Gravitational Corrections
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 $SU(N)\ \cN=2$ super Yang-Mills theories, we find that these exact solutions of the matrix models agree with results obtained by topological field theory methods.
Adv. Theor. Math. Phys., Volume 7, Number 6 (2003), 1155-1174.
First available in Project Euclid: 21 June 2004
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Dijkgraaf, Robbert; Sinkovics, Annamaria; Tem, Mine. Matrix Models and Gravitational Corrections. Adv. Theor. Math. Phys. 7 (2003), no. 6, 1155--1174. https://projecteuclid.org/euclid.atmp/1087840807