Advances in Theoretical and Mathematical Physics

Matrix Models and Gravitational Corrections

Robbert Dijkgraaf, Annamaria Sinkovics, and Mine Tem

Full-text: Open access


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.

Article information

Adv. Theor. Math. Phys., Volume 7, Number 6 (2003), 1155-1174.

First available in Project Euclid: 21 June 2004

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Dijkgraaf, Robbert; Sinkovics, Annamaria; Tem, Mine. Matrix Models and Gravitational Corrections. Adv. Theor. Math. Phys. 7 (2003), no. 6, 1155--1174.

Export citation