Open Access
December, 2003 Matrix Models and Gravitational Corrections
Robbert Dijkgraaf, Annamaria Sinkovics, Mine Tem
Adv. Theor. Math. Phys. 7(6): 1155-1174 (December, 2003).


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.


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Robbert Dijkgraaf. Annamaria Sinkovics. Mine Tem. "Matrix Models and Gravitational Corrections." Adv. Theor. Math. Phys. 7 (6) 1155 - 1174, December, 2003.


Published: December, 2003
First available in Project Euclid: 21 June 2004

zbMATH: 1061.81070
MathSciNet: MR2061646

Rights: Copyright © 2003 International Press of Boston

Vol.7 • No. 6 • December, 2003
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