Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models

Details Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models

2004-05-14

arxiv.org/abs/hep-th/0405128v2

Nucl.Phys. B698 (2004) 53-91

Physics

High Energy Physics

High Energy Physics - Theory

47 pages, 9 figures; Sign errors corrected. Figure 5 replaced. References added

Scientific paper

10.1016/j.nuclphysb.2004.07.039

We study the gravitational corrections to the F-term in four-dimensional N=1 U(N) 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 R^2 correction can be reproduced as a special momentum sector of a single c=1 CFT correlator, which closely resembles that in the bosonization of fermions on Riemann surfaces. The N=2 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.

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