Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2004 | Submitted
Journal Article Open

On the Relation Between Open and Closed Topological Strings

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.

Attached Files

Submitted - 0405232.pdf

Files

0405232.pdf
Files (323.8 kB)
Name Size Download all
md5:4a9db422156bc6ef1eacec4b3b887be4
323.8 kB Preview Download

Additional details

Created:
August 19, 2023
Modified:
October 18, 2023