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Derivation of Calabi-Yau crystals from Chern-Simons gauge theory

Okuda, Takuya (2005) Derivation of Calabi-Yau crystals from Chern-Simons gauge theory. Journal of High Energy Physics, 2005 (3). Art. No.-047. ISSN 1126-6708. doi:10.1088/1126-6708/2005/03/047.

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We derive new crystal melting models from Chern-Simons theory on the three-sphere. Via large N duality, these models compute amplitudes for A-model on the resolved conifold. The crystal is bounded by two walls whose distance corresponds to the Kahler modulus of the geometry. An interesting phenomenon is found where the Kahler modulus is shifted by the presence of non-compact D-branes. We also discuss the idea of using the crystal models as means of proving more general large N dualities to all order in g(s).

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Additional Information:© Institute of Physics and IOP Publishing Limited 2005. Received 9 February 2005, accepted for publication 17 March 2005. Published 11 April 2005. I would like to thank Jaume Gomis, Hikaru Kawai, Takeshi Morita, and Sanefumi Moriyama for useful discussions. I am also grateful to Hirosi Ooguri for giving helpful comments and reading the manuscript. This research is supported in part by DOE grant DE-FG03-92-ER40701.
Subject Keywords:1/N expansion, Chern-Simons theories, topological strings, matrix models, worldsheet, amplitudes, duality
Issue or Number:3
Record Number:CaltechAUTHORS:OKUjhep05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:619
Deposited By: Tony Diaz
Deposited On:07 Sep 2005
Last Modified:08 Nov 2021 19:03

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