On the Open-Closed B-Model
TLDR
The coupling of the closed string to the open string in the topological B-model was studied in this article, where it was shown that this coupling induces an isomorphism of Gerstenhaber algebras on the level of cohomology.Abstract:
We study the coupling of the closed string to the open string in the topological B-model. These couplings can be viewed as gauge invariant observables in the open string field theory, or as deformations of the differential graded algebra describing the OSFT. This is interpreted as an intertwining map from the closed string sector to the deformation (Hochschild) complex of the open string algebra. By an explicit calculation we show that this map induces an isomorphism of Gerstenhaber algebras on the level of cohomology. Reversely, this can be used to derive the closed string from the open string. We shortly comment on generalizations to other models, such as the A-model.read more
Citations
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Landau-Ginzburg Realization of Open String TFT
TL;DR: In this article, the authors investigated B-type topological Landau-Ginzburg theory with one variable, with D2brane boundary conditions, and determined the allowed brane configurations in terms of the possible factorizations of the superpotential, and computed the corresponding open string chiral rings.
Journal ArticleDOI
Homotopy Algebras Inspired by Classical Open-Closed String Field Theory
Hiroshige Kajiura,Jim Stasheff +1 more
TL;DR: It is shown that the OCHA is actually a homotopy invariant notion; for instance, the minimal model theorem holds and the general scheme for deformation of open string structures by closed strings is given.
Journal ArticleDOI
Topological strings in generalized complex space
TL;DR: In this paper, a two-dimensional topological sigma model on a generalized Calabi-Yau target space was constructed in Batalin-Vilkovisky formalism using only a generalized complex structure and a pure spinor on the target space.
Journal ArticleDOI
Superpotentials, A ∞ Relations and WDVV Equations for Open Topological Strings
TL;DR: In this paper, the authors give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings, including the A∞ relations and the homotopy versions of bulk-boundary crossing symmetry and Cardy constraint.
Proceedings ArticleDOI
Lectures on AKSZ Sigma Models for Physicists
TL;DR: The AKSZ construction as mentioned in this paper is a mathematical formulation for the construction and analyses of a large class of TFTs; it was inspired by the Batalin-Vilkovisky formalism of gauge theories.
References
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TL;DR: In this paper, an attempt is made to interpret the interactions of bosonic open strings as defining a non-cummulative, associative algebra, and to formulate the classical non-linear field theory of such strings in the language of non-commulative geometry.
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