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Gravitational corrections in supersymmetric gauge theory and matrix models

Albrecht Klemm·Marcos Marino·Stefan Theisen
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Abstract

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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Albrecht Klemm, Marcos Marino, Stefan Theisen. 2002-11-22. Gravitational corrections in supersymmetric gauge theory and matrix models. https://doi.org/10.1088/1126-6708%2F2003%2F03%2F051

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