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Open-closed Hyperbolic String Vertices
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We construct a family of hyperbolic string vertices in the oriented open-closed string field theory, generalizing the recent result on hyperbolic closed string vertices by Costello and Zwiebach. The vertices are described by certain bordered hyperbolic surfaces and we explain relevant collar theorems which provide restrictions on the systolic conditions for the hyperbolic vertices. We also give explicit descriptions of the vertices for all zero and one-dimensional moduli spaces.
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Boundary terms in string field theory
The free closed string field theory action is supplemented with a boundary term, derived from the failure of BRST cyclicity, that reproduces the Gibbons-Hawking-York term at low energies.
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