Closed String Cohomology in Open String Field Theory

Details Closed String Cohomology in Open String Field Theory Closed String Cohomology in Open String Field Theory

2010-10-20

arxiv.org/abs/1010.4125v1

JHEP 1107:022,2011

Physics

High Energy Physics

High Energy Physics - Theory

21 pages + appendix, 7 figures

Scientific paper

10.1007/JHEP07(2011)022

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.

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