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On the Relation Between Open and Closed Topological Strings

Kapustin, Anton and Rozansky, Lev (2004) On the Relation Between Open and Closed Topological Strings. Communications in Mathematical Physics, 252 (1-3). pp. 393-414. ISSN 0010-3616. doi:10.1007/s00220-004-1227-z.

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We discuss the relation between open and closed string correlators using topological string theories as a toy model. We propose that one can reconstruct closed string correlators from the open ones by considering the Hochschild cohomology of the category of D-branes. We compute the Hochschild cohomology of the category of D-branes in topological Landau-Ginzburg models and partially verify the conjecture in this case.

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Kapustin, Anton0000-0003-3903-5158
Additional Information:© Springer-Verlag 2004. Received: 4 June 2004. Accepted: 24 September 2004. Communicated by M.R. Douglas. A.K. would like to thank Volodya Baranovsky, Ezra Getzler, Kentaro Hori, Dima Orlov, and SashaVoronov for help at various stages. A.K. is also grateful to the Department of Mathematics of Northwestern University and the Erwin Schrödinger Institute for hospitality while this work was being completed. L. R. is very grateful to Mikhail Khovanov for numerous discussions of the category of matrix factorizations. This work was supported in part by the DOE grant DE-FG03-92-ER40701 and by the NSF grant DMS-0196131.
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Department of Energy (DOE)DE-FG03-92-ER40701
Issue or Number:1-3
Record Number:CaltechAUTHORS:20160511-080711343
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Official Citation:Kapustin, A., Rozansky, L. On the Relation Between Open and Closed Topological Strings. Commun. Math. Phys. 252, 393–414 (2004).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66971
Deposited By: Ruth Sustaita
Deposited On:11 May 2016 16:55
Last Modified:11 Nov 2021 00:25

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