On the relation between open and closed topological strings

Details On the relation between open and closed topological strings On the relation between open and closed topological strings

2004-05-26

arxiv.org/abs/hep-th/0405232v2

Commun.Math.Phys. 252 (2004) 393-414

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, corrected the proof of eq. 28

Scientific paper

10.1007/s00220-004-1227-z

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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