Closed string amplitudes around tachyon vacuum solution in Kaku theory

Abstract

We incorporate closed string field into Kaku's open string field theory which is defined by using Kaku vertex, and we construct open-closed string field theory. To do this, we define new consistent open-closed vertex and open-open-closed vertex with the Kaku vertex. Because these vertices depend on Chan-Paton parameter such as the Kaku vertex, the open-closed string field theory action that we construct depends on the Chan-Paton parameter such as the Kaku's theory action. However, we can show that an infinitesimal change of $l$ corresponds to a field redefinition. Furthermore, we compute closed string amplitudes around tachyon vacuum solution in this theory. As a result, we confirm that these are conventional pure closed string amplitudes on surfaces without boundaries.

16 pages, 4 figures; published version

References in corpus (17)

• Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory
• Oriented Open-Closed String Theory Revisited
• Proof of vanishing cohomology at the tachyon vacuum
• A Simple Analytic Solution for Tachyon Condensation
• The closed string tadpole in open string field theory
• Resolving Witten's Superstring Field Theory
• Homotopy algebras inspired by classical open-closed string field theory
• String Field Theory -- A Modern Introduction
• Four Lectures on Closed String Field Theory
• Hyperbolic three-string vertex
• Open-closed Hyperbolic String Vertices
• Open-closed homotopy algebra in mathematical physics
• The classical cosmological constant of open-closed string field theory
• Hyperbolic string tadpole
• Unoriented Open-Closed String Field Theory
• BRS Invariance of Unoriented Open-Closed String Field Theory
• The classical solutions with $k_{-}=0$ in Kaku theory