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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 |
| Volume | 4 |
| Year | 2004 |
| Issue | 03 |
| Pages | art. no. 9- |
| ISSN | 11266708 |
| Faculty | Faculty of Science |
| Institute/dept. | FNWI: Institute for Theoretical Physics (ITF) |
| Keywords | - |
| 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. |
| Document type | Article |
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