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Mirror symmetry in three-dimensional gauge theories, quivers and D-branes

de Boer, Jan and Hori, Kentaro and Ooguri, Hirosi and Oz, Yaron (1997) Mirror symmetry in three-dimensional gauge theories, quivers and D-branes. Nuclear Physics B, 493 (1-2). pp. 101-147. ISSN 0550-3213. doi:10.1016/S0550-3213(97)00125-9.

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We construct and analyze dual N = 4 supersymmetric gauge theories in three dimensions with unitary and symplectic gauge groups. The gauge groups and the field content of the theories are encoded in quiver diagrams. The duality exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass parameters. We analyze the classical and the quantum moduli spaces of the theories and construct an explicit mirror map between the mass parameters and the Fayet-Iliopoulos parameters of the dual. The results generalize the relation between ALE spaces and moduli spaces of SU(n) and SO(2n) instantons. We interpret some of these results from the string theory viewpoint, for SU(n) by analyzing T-duality and extremal transitions in type II string compactifications, for SO(2n) by using D-branes as probes. Finally, we make a proposal for the moduli space of vacua of these theories in the absence of matter.

Item Type:Article
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URLURL TypeDescription Paper
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1997 Elsevier. Received 15 November 1996, Accepted 5 February 1997. We would like to thank K. Bardakçi, I. Grojnowski, A. Hanany, K. Intriligator, D. Morrison, H. Nakajima, R. Plesser, E. Silverstein, A. Strominger, C. Vafa and Z. Yin for discussions. This work is supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. JdB is a fellow of the Miller Institute for Basic Research in Science.
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Department of Energy (DOE)DE-AC03-76SF00098
Miller Institute for Basic Research in ScienceUNSPECIFIED
Issue or Number:1-2
Record Number:CaltechAUTHORS:20161220-134318183
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Official Citation:Jan de Boer, Kentaro Hori, Hirosi Ooguri, Yaron Oz, Mirror symmetry in three-dimensional gauge theories, quivers and D-branes, Nuclear Physics B, Volume 493, Issues 1–2, 26 May 1997, Pages 101-147, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72995
Deposited By: George Porter
Deposited On:20 Dec 2016 22:33
Last Modified:11 Nov 2021 05:09

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