Divergent to Complex Amplitudes in Two Dimensional String Theory

Abstract

In a recent paper, Balthazar, Rodriguez and Yin found remarkable agreement between the one instanton contribution to the scattering amplitudes of two dimensional string theory and those in the matrix model to the first subleading order. The comparison was carried out numerically by analytically continuing the external energies to imaginary values, since for real energies the string theory result diverges. We use insights from string field theory to give finite expressions for the string theory amplitudes for real energies. We also show analytically that the imaginary parts of the string theory amplitudes computed this way reproduce the full matrix model results for general scattering amplitudes involving multiple closed strings.

LaTeX, 14 pages

References in corpus (1)

• D-instanton Perturbation Theory

Cited by in corpus (14)

• The Virasoro Minimal String
• String correlators on ${\text{AdS}}_3$: Three-point functions
• Normalization of D-instanton Amplitudes
• D-instantons, String Field Theory and Two Dimensional String Theory
• Normalization of Type IIB D-instanton Amplitudes
• Cutkosky Rules and Unitarity (Violation) in D-instanton Amplitudes
• The classical cosmological constant of open-closed string field theory
• Open string stub as an auxiliary string field
• A Two-Dimensional String Cosmology
• Closed string deformations in open string field theory I: bosonic string
• Instantons in sine-Liouville theory
• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• Type II superstring field theory revisited