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Periodic Monopoles With Singularities And N = 2 Super-QCD
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cherkis, Sergey A. Kapustin, Anton |
| Copyright Year | 2008 |
| Abstract | We study solutions of the Bogomolny equation on R2 × S1 with prescribed singularities. We show that Nahm transform establishes a one-to-one correspondence between such solutions and solutions of the Hitchin equations on a punctured cylinder with the eigenvalues of the Higgs field growing at infinity in a particular manner. The moduli spaces of solutions have natural hyperkähler metrics of a novel kind. We show that these metrics describe the quantum Coulomb branch of certain N = 2 d = 4 supersymmetric gauge theories on R 3 × S1. The Coulomb branches of the corresponding uncompactified theories have been previously determined by E. Witten using the Mtheory fivebrane. We show that the Seiberg-Witten curves of these theories are identical to the spectral curves associated to solutions of the Bogomolny equation on R2 × S1. In particular, this allows us to rederive Witten’s results without recourse to the M-theory fivebrane. IASSNS-HEP-00/82 UCLA-00TEP-25 CITUSC/00-58 email: cherkis@physics.ucla.edu email: kapustin@ias.edu |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://authors.library.caltech.edu/66697/1/0011081.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-th/0011081v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | AUT-OV-ALVAC-hB7.1 Vaccine Cylinder seal E-mail Address Email One-to-one (data model) Solutions Theory |
| Content Type | Text |
| Resource Type | Article |
