Advances in Theoretical and Mathematical Physics

Matrix Models and Gravitational Corrections

Robbert Dijkgraaf, Annamaria Sinkovics, and Mine Tem

Full-text: Open access

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 $SU(N)\ \cN=2$ 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

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

Dates
First available in Project Euclid: 21 June 2004

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1087840807

Mathematical Reviews number (MathSciNet)
MR2061646

Zentralblatt MATH identifier
1061.81070

Citation

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


Export citation