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D-Brane probes of Special Holonomy Manifolds, and Dynamics of N=1 Three-Dimensional Gauge Theories

Gukov, Sergei and Tong, David (2002) D-Brane probes of Special Holonomy Manifolds, and Dynamics of N=1 Three-Dimensional Gauge Theories. Journal of High Energy Physics, 2002 (4). Art. No. 50. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:20160505-110509143

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Abstract

Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G_2 and Spin(7) holonomy. We derive mirror pairs of N = 1 supersymmetric three-dimensional gauge theories, and apply this technique to realize exceptional holonomy manifolds as both Coulomb and Higgs branches of the D2-brane world-volume theory. We derive a “G_2 quotient construction'' of non-compact manifolds which admit a metric of G_2 holonomy. We further discuss the moduli space of such manifolds, including the structure of geometrical transitions in each case. For completeness, we also include familiar examples of manifolds withSU(3) and Sp(2) holonomy, where some of the new ideas are clarified and tested.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://iopscience.iop.org/article/10.1088/1126-6708/2002/04/050PublisherArticle
http://arxiv.org/abs/hep-th/0202126arXivDiscussion Paper
http://dx.doi.org/10.1088/1126-6708/2002/04/050DOIArticle
ORCID:
AuthorORCID
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2002 SISSA/ISAS. Received: March 20, 2002; Accepted: April 26, 2002. We are grateful to B. Acharya, M. Aganagic, N. Constable, A. Hanany, J. Sparks, N. Seiberg, M. Strassler, C. Vafa and E. Witten for useful discussions. This research was conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by grant RFBR No. 01-02-17488, and the Russian President's grant No. 00-15-99296. D.T. is a Pappalardo fellow and would like to thank the Pappalardo family for their largesse. The work of D.T. also supported in part by funds provided by the U.S. Department of Energy (D.O.E.) under cooperative research agreement #DF-FC02-94ER40818.
Funders:
Funding AgencyGrant Number
Russian Foundation for Basic Research01-02-17488
Russian Foundation for Basic Research00-15-99296
Pappalardo FellowshipUNSPECIFIED
Department of Energy (DOE)DF-FC02-94ER40818
Clay Mathematics InstituteUNSPECIFIED
Subject Keywords:Field Theories in Lower Dimensions, Duality in Gauge Field Theories, Brane Dynamics in Gauge Theories
Issue or Number:4
Record Number:CaltechAUTHORS:20160505-110509143
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160505-110509143
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66688
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2016 18:03
Last Modified:09 Mar 2020 13:18

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