Open string stub as an auxiliary string field
Harold Erbin, Atakan Hilmi Fırat
Abstract
Witten’s open string field theory with a generalized version of stubs is reformulated as a cubic string field theory using an auxiliary string field. The gauge symmetries and equations of motion as well as the associative algebra of the resulting theory are investigated. Integrating out either the original or auxiliary field is shown to recover the conventional cubic theory. Our analysis demonstrates that deformations due to the stubs can be described as a homotopy transfer purely in the context of strong deformation retract. We also discuss to what extent the vertex regions resulting from stubs provide a model for the elementary interactions of closed string field theory.
Topics & Concepts
String field theoryTheoretical physicsCompactification (mathematics)Non-critical string theoryPhysicsType I string theoryString phenomenologyRelationship between string theory and quantum field theoryHeterotic string theoryHomotopyString theoryString (physics)MathematicsPure mathematicsQuantum mechanicsQuantum gravityQuantumBlack Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsNonlinear Waves and Solitons