On the Relation Between Open and Closed Topological Strings

2004/05/31 by Anton Kapustin, A. Kapustin, Lev Rozansky +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG

paper · pdf · doi:10.1007/s00220-004-1227-z

published as Commun.Math.Phys. 252 (2004) 393-414 · 28 pages, corrected the proof of eq. 28

arxiv created 2004/06/04 · openalex publication_date 2004/10/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

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