Understand
We show that closed string states in bosonic string field theory are encoded in the cyclic cohomology of cubic open string field theory (OSFT) which, in turn, classifies the deformations of OSFT.
- This cohomology is then shown to be independent of the open string background.
- Exact elements correspond to closed string gauge transformations, generic boundary deformations of Witten's 3-vertex and infinitesimal shifts of the open string background.
- Finally it is argued that the closed string cohomology and the cyclic cohomology of OSFT are isomorphic to each other.
Built on
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Similar
M. R. Gaberdiel and B. Zwiebach, “Tensor constructions of open string theories I: Foundations,” Nucl. Phys. B
1997
Cited alongside, same era.
B. Zwiebach, “Oriented open-closed string theory revisited,” Annals Phys
1998
Cited alongside, same era.
H. Kajiura, “Homotopy algebra morphism and geometry of classical string field theory,” Nucl. Phys. B
2002
Cited alongside, same era.
T. Nakatsu, “Classical open-string field theory: A(infinity)-algebra, renormalization group and boundary states,” Nucl. Phys. B
2002
Cited alongside, same era.
M. Penkava and A. S. Schwarz, “A(infinity) algebras and the cohomology of moduli spaces,” arXiv:hep-th/9408064
Cited in the paper.
Then
A. Kapustin and L. Rozansky, “On the relation between open and closed topological strings,” Commun. Math. Phys
2004
Later among the works it cites.
M. Baumgartl, I. Sachs and S. L. Shatashvili, “Factorization conjecture and the open / closed string correspondence,” JHEP
2005
Later among the works it cites.
K. Fukaya, “Application of Floer Homology of Lagrangian Submanifolds to symplectic toplogy,” in, P. Biran et al. (eds.),
2006
Later among the works it cites.
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