On the relation between open and closed topological strings
High Energy Physics - Theory
2009-11-10 v2 Algebraic Geometry
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.
Cite
@article{arxiv.hep-th/0405232,
title = {On the relation between open and closed topological strings},
author = {A. Kapustin and L. Rozansky},
journal= {arXiv preprint arXiv:hep-th/0405232},
year = {2009}
}
Comments
28 pages, corrected the proof of eq. 28