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Journal Article

Gravitational corrections in supersymmetric gauge theory and matrix models


Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Klemm, A., Marino, M., & Theisen, S. (2003). Gravitational corrections in supersymmetric gauge theory and matrix models. Journal of High Energy Physics, 2003(3): 051. doi:10.1088/1126-6708/2003/03/051.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5288-E
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 ca