Gravitational corrections in supersymmetric gauge theory and matrix models
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.
Keywords
Cite
@article{arxiv.hep-th/0211216,
title = {Gravitational corrections in supersymmetric gauge theory and matrix models},
author = {Albrecht Klemm and Marcos Marino and Stefan Theisen},
journal= {arXiv preprint arXiv:hep-th/0211216},
year = {2010}
}
Comments
27 pages, one eps figure