Published December 2004 | Version Submitted
Journal Article Open

On the Relation Between Open and Closed Topological Strings

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon University of North Carolina at Chapel Hill

Abstract

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.

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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Identifiers

Eprint ID
66971
Resolver ID
CaltechAUTHORS:20160511-080711343

Related works

Funding

Department of Energy (DOE)
DE-FG03-92-ER40701
NSF
DMS-0196131

Dates

Created
2016-05-11
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Updated
2021-11-11
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Mathematics Department