Gravitational corrections in supersymmetric gauge theory and matrix models

Details Gravitational corrections in supersymmetric gauge theory and matrix models Gravitational corrections in supersymmetric gauge theory and matrix models

2002-11-22

arxiv.org/abs/hep-th/0211216v1

JHEP 0303:051,2003

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, one eps figure

Scientific paper

10.1088/1126-6708/2003/03/051

Gravitational corrections in N=1 and N=2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa beyond the planar limit. Both, matrix model and topological string theory, are used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory. Our analysis is performed for those gauge theories which are related to the cubic matrix model, i.e. pure SU(2) Seiberg-Witten theory and N=2 U(N) SYM broken to N=1 via a cubic superpotential. We outline the computation of the topological amplitudes for the local Calabi-Yau manifolds which are relevant for these two cases.

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