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Mirror symmetry in three-dimensional gauge theories, SL(2,Z) and D-brane moduli spaces

de Boer, Jan and Hori, Kentaro and Ooguri, Hirosi and Oz, Yaron and Yin, Zheng (1997) Mirror symmetry in three-dimensional gauge theories, SL(2,Z) and D-brane moduli spaces. Nuclear Physics B, 493 (1-2). pp. 148-176. ISSN 0550-3213. doi:10.1016/S0550-3213(97)00115-6.

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We construct intersecting D-brane configurations that encode the gauge groups and field content of dual N = 4 supersymmetric gauge theories in three dimensions. The duality which exchanges the Coulomb and Higgs branches and the Fayet-Iliopoulos and mass parameters is derived from the SL (2, Z) symmetry of the type IIB string. Using the D-brane configurations we construct explicitly this mirror map between the dual theories and study the instanton corrections in the D-brane world-volume theory via open string instantons. A general procedure to obtain mirror pairs is presented and illustrated. We encounter transitions among different field theories that correspond to smooth movements in the D-brane moduli space. We discuss the relation between the duality of the gauge theories and the level-rank duality of affine Lie algebras. Examples of other dual theories are presented and explained via T-duality and extremal transitions in type II string compactifications. Finally we discuss a second way to study instanton corrections in the gauge theory, by wrapping 5-branes around six-cycles in M-theory compactified on a Calabi-Yau 4-fold.

Item Type:Article
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URLURL TypeDescription Paper
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 1997 Elsevier. Received 20 December 1996, Accepted 4 February 1997. We would like to thank A. Hanany, K. Intriligator, S. Kachru, H. Nakajima, M. Roček, C. Schweigert and N. Seiberg 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. Z. Yin is supported in part by a Graduate Research Fellowship of the U.S. Department of Education.
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Department of Energy (DOE)DE-AC03-76SF00098
Miller Institute for Basic Research in ScienceUNSPECIFIED
Department of EducationUNSPECIFIED
Issue or Number:1-2
Record Number:CaltechAUTHORS:20161220-133645222
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Official Citation:Jan de Boer, Kentaro Hori, Hirosi Ooguri, Yaron Oz, Zheng Yin, Mirror symmetry in three-dimensional gauge theories, SL(2, Z) and D-brane moduli spaces, Nuclear Physics B, Volume 493, Issues 1–2, 26 May 1997, Pages 148-176, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72994
Deposited By: George Porter
Deposited On:20 Dec 2016 23:29
Last Modified:11 Nov 2021 05:09

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