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Periodic Monopoles With Singularities And N = 2 Super-QCD

Cherkis, Sergey A. and Kapustin, Anton (2003) Periodic Monopoles With Singularities And N = 2 Super-QCD. Communications in Mathematical Physics, 234 (1). pp. 1-35. ISSN 0010-3616. https://resolver.caltech.edu/CaltechAUTHORS:20160505-144258782

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Abstract

We study solutions of the Bogomolny equation on R^2 × S^1 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 ×S^1. The Coulomb branches of the corresponding uncompactified theories have been previously determined by E. Witten using the M-theory 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 R^2 × S^1. In particular, this allows us to rederive Witten’s results without recourse to the M-theory fivebrane.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0011081arXivDiscussion Paper
http://dx.doi.org/10.1007/s00220-002-0786-0DOIArticle
http://link.springer.com/article/10.1007/s00220-002-0786-0PublisherArticle
ORCID:
AuthorORCID
Cherkis, Sergey A.0000-0002-0785-0126
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2003 Springer-Verlag. Received: 9 March 2001. Accepted: 15 January 2002. It is our pleasure to thank Nigel Hitchin, Marcos Jardim, and Tony Pantev for discussions. S.Ch. is grateful to the Institute for Advanced Study, Princeton, for hospitality during the final stage of this work. S.Ch. was supported in part by NSF grant PHY9819686. A.K. was supported in part by DOE grant DE-FG02-90ER40542.
Funders:
Funding AgencyGrant Number
NSFPHY9819686
Department of Energy (DOE)DE-FG02-90ER40542
Issue or Number:1
Record Number:CaltechAUTHORS:20160505-144258782
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160505-144258782
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66697
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 May 2016 20:27
Last Modified:03 Oct 2019 09:59

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