Gravitational corrections for supersymmetric gauge theories with flavors via matrix models Original Research Article

We study the gravitational corrections to the F-term in four-dimensional image image gauge theories with flavors, using the Dijkgraaf–Vafa theory. We derive a compact formula for the annulus contribution in terms of the prime form on the matrix model curve. Remarkably, the full image correction can be reproduced as a special momentum sector of a single image CFT correlator, which closely resembles that in the bosonization of fermions on Riemann surfaces. The image limit of the torus contribution agrees with the multi-instanton calculations as well as the topological A-model result. The planar contributions, on the other hand, have no counterpart in the topological gauge theories, and we speculate about the origin of these terms.