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Geometry as seen by string theory

Ooguri, Hirosi (2009) Geometry as seen by string theory. Japanese Journal of Mathematics, 4 (2). pp. 95-120. ISSN 0289-2316.

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This is an introductory review of the topological string theory from physicist’s perspective. I start with the definition of the theory and describe its relation to the Gromov–Witten invariants. The BCOV holomorphic anomaly equations, which generalize the Quillen anomaly formula, can be used to compute higher genus partition functions of the theory. The open/closed string duality relates the closed topological string theory to the Chern–Simons gauge theory and the random matrix model. As an application of the topological string theory, I discuss the counting of bound states of D-branes.

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Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© The Mathematical Society of Japan and Springer 2009. Received: 22 January 2009. Revised: 29 April 2009. Accepted: 6 May 2009. Published online: 25 December 2009. Communicated by: Hiraku Nakajima. This article is based on the 4th Takagi Lectures that the author delivered at the Kyoto University on June 21, 2008.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Japan Society for the Promotion of Science (JSPS)20540256
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Kavli FoundationUNSPECIFIED
Subject Keywords:topological string theory
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Issue or Number:2
Classification Code:Mathematics Subject Classification (2000): 14N35, 81T30.
Record Number:CaltechAUTHORS:20100121-141325818
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Official Citation:Ooguri, H. Geometry as seen by string theory. Jpn. J. Math. 4, 95 (2009).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17275
Deposited By: Tony Diaz
Deposited On:28 Jan 2010 19:44
Last Modified:30 Jan 2020 19:29

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