## Advances in Theoretical and Mathematical Physics

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

### Matrix Models and Gravitational Corrections

Robbert Dijkgraaf, Annamaria Sinkovics, and Mine Tem

#### 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