Hyperbolic Geometry and Closed Bosonic String Field Theory II: The Rules for Evaluating the Quantum BV Master Action

Abstract

The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string measure over the distinct string diagrams describing the elementary interactions of the closed strings. In the first paper of this series, it was shown that the string diagrams describing the elementary interactions can be characterized using the Riemann surfaces endowed with the hyperbolic metric with constant curvature $-1$. In this paper, we construct the off-shell bosonic-string measure as a function of the Fenchel-Nielsen coordinates of the Teichmüller space of hyperbolic Riemann surfaces. We also describe an explicit procedure for integrating the off-shell string measure over the region inside the moduli space corresponding to the elementary interactions of the closed strings.

51 pages, 15 figures, version to appear in JHEP

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Cited by in corpus (8)

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• Open string stub as an auxiliary string field
• Hyperbolic Geometry and Closed Bosonic String Field Theory I: The String Vertices Via Hyperbolic Riemann Surfaces
• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices
• Closed Bosonic String Tachyon Potential from the $\mathcal{N}=1$ Point of View