Open-closed hyperbolic string vertices
Minjae Cho
Abstract
A bstract 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.
Topics & Concepts
MathematicsString (physics)Moduli spaceHyperbolic treePure mathematicsModuliCombinatoricsHyperbolic geometryPhysicsMathematical physicsQuantum mechanicsDifferential geometryBlack Holes and Theoretical PhysicsAlgebraic Geometry and Number TheoryAdvanced Algebra and Geometry