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faculty: "FNWI" and publication year: "2004"
| Authors||R.H. Boels, J. de Boer, R.J. Duivenvoorden, J.S. Wijnhout|
|Title||Nonperturbative superpotentials and compactification to three dimensions|
|Journal||The Journal of High Energy Physics|
|Pages||art. no. 9-|
|Faculty||Faculty of Science|
|Institute/dept.||FNWI: Institute for Theoretical Physics (ITF)|
|Abstract||We consider four-dimensional N = 2 supersymmetric gauge theories with
gauge group U(N) on R3£S1, in the presence of a classical superpotential. The low-energy quantum superpotential is obtained by simply replacing the adjoint scalar super¯eld in the classical superpotential by the Lax matrix of the integrable system that underlies the 4d ¯eld theory. We verify in a number of examples that the vacuum structure obtained in this way matches precisely that in 4d, although the degrees of freedom that appear are quite distinct. Several features of 4d ¯eld theories, such as the possibility of lifting vacua from U(N) to U(tN), become particularly simple in this framework. It turns out that supersymmetric vacua give rise to a reduction of the integrable system which contains information about the ¯eld theory but also about the Dijkgraaf-Vafa matrix model. The
relation between the matrix model and the quantum superpotential on R3 £S1 appears to involve a novel kind of mirror symmetry.|
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