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Non-Abelian conifold transitions and N = 4 dualities in three dimensions

Hori, Kentaro and Ooguri, Hirosi and Vafa, Cumrun (1997) Non-Abelian conifold transitions and N = 4 dualities in three dimensions. Nuclear Physics B, 504 (1-2). pp. 147-174. ISSN 0550-3213. https://resolver.caltech.edu/CaltechAUTHORS:20161220-131259376

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Abstract

We show how the Higgs mechanism for non-Abelian N = 2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau 3-folds. We use this result and T-duality of a further compactification on a circle to derive N = 4, d = 3 dual field theories. This reduces the dualities for N = 4 gauge systems in three dimensions to perturbative symmetries of string theory. Moreover, we find that the dual of a gauge system always exists but may or may not correspond to a Lagrangian system. In particular, we verify a conjecture of Intriligator and Seiberg that an ordinary gauge system is dual to compactification of exceptional tensionless string theory down to three dimensions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0550-3213(97)00529-4DOIArticle
http://www.sciencedirect.com/science/article/pii/S0550321397005294PublisherArticle
https://arxiv.org/abs/hep-th/9705220arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1997 Elsevier. Received 5 June 1997, Accepted 5 August 1997. We would like to thank S. Katz, P. Mayr, Y. Oz and A. Zaffaroni for valuable discussions. K.H. would like to thank Institute for Advanced Study and Rutgers Physics Department, H.O. would like to thank Rutgers and Harvard Physics Departments and C.V. would like to thank Institute for Advanced Study, for hospitality. The researches of K.H. and H.O. are supported in part by NSF grant PHY-95-14797 and DOE grant DE-AC03-76SF00098, and the research of C.V. is in part supported by NSF grant PHY-92-18167.
Funders:
Funding AgencyGrant Number
NSFPHY-95-14797
Department of Energy (DOE)DE-AC03-76SF00098
NSFPHY-92-18167
Issue or Number:1-2
Record Number:CaltechAUTHORS:20161220-131259376
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161220-131259376
Official Citation:Kentaro Hori, Hirosi Ooguri, Cumrun Vafa, Non-Abelian conifold transitions and N = 4 dualities in three dimensions, Nuclear Physics B, Volume 504, Issues 1–2, 27 October 1997, Pages 147-174, ISSN 0550-3213, http://dx.doi.org/10.1016/S0550-3213(97)00529-4. (http://www.sciencedirect.com/science/article/pii/S0550321397005294)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72991
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:20 Dec 2016 21:58
Last Modified:03 Oct 2019 16:23

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