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Large-N duality, Lens spaces and the Chern-Simons matrix model

Halmagyi, Nick and Okuda, Takuya and Yasnov, Vadim (2004) Large-N duality, Lens spaces and the Chern-Simons matrix model. Journal of High Energy Physics, 2004 (4). Art. No.-014. ISSN 1126-6708. http://resolver.caltech.edu/CaltechAUTHORS:HALjhep04

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Abstract

We demonsrate that the spectral curve of the matrix model for Chern-Simons theory on the Lens space S-3/Z(P) is precisely the Riemann surface which appears in the mirror to the blownup, orbifolded conifold. This provides the first check of the A-model large-N duality for T* (S-3/Z(p)), p > 2.


Item Type:Article
Additional Information:© Institute of Physics and IOP Publishing Limited 2004. Received 10 January 2004, accepted for publication 6 April 2004. Published 13 April 2004. NH would like to thank Jaume Gomis for useful discussions. TO would like to thank Hiroshi Ooguri for collaboration on a related project [6]. We also thank Hiroshi Ooguri for reading the manuscript. This research was supported in part (NH) by the National Science Foundation under Grant No. PHY99-07949 and (TO) by DOE grant DE-FG03-92ER40701.
Subject Keywords:1/N expansion, Chern-Simons theories, matrix models
Record Number:CaltechAUTHORS:HALjhep04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HALjhep04
Alternative URL:http://dx.doi.org/10.1088/1126-6708/2004/04/014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:618
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Sep 2005
Last Modified:26 Dec 2012 08:40

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