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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. doi:10.1016/S0550-3213(97)00529-4.

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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.

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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.
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Department of Energy (DOE)DE-AC03-76SF00098
Issue or Number:1-2
Record Number:CaltechAUTHORS:20161220-131259376
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72991
Deposited By: George Porter
Deposited On:20 Dec 2016 21:58
Last Modified:11 Nov 2021 05:09

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