Long String Scattering in c = 1 String Theory

Abstract

We study the scattering of long strings in c = 1 string theory, both in the worldsheet description and in the non-singlet sector of the dual matrix quantum mechanics. From the worldsheet perspective, the scattering amplitudes of long strings are obtained from a decoupling limit of open strings amplitudes on FZZT branes, which we compute by integrating Virasoro conformal blocks along with structure constants of boundary Liouville theory. In particular, we study the tree level amplitudes of (1) a long string decaying by emitting a closed string, and (2) the scattering of a pair of long strings. We show that they are indeed well defined as limits of open string amplitudes, and that our results are in striking numerical agreement with computations in the adjoint and bi-adjoint sectors of the dual matrix model (based on proposals of Maldacena and solutions due to Fidkowski), thereby providing strong evidence of the duality.

42 pages, 18 figures

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• A Two-Dimensional String Cosmology
• The S-Matrix of 2D Type 0B String Theory Part 1: Perturbation Theory Revisited
• A Worldsheet Description of Instant Folded Strings
• The Torus One-Point Diagram in Two-Dimensional String Cosmology
• Finiteness of Entanglement Entropy in Collective Field Theory
• The complex Liouville string: worldsheet boundaries and non-perturbative effects
• Large N Optimization for multi-matrix systems
• Quantum Quench in $c=1$ Matrix Model and Emergent Space-times
• A Defect in AdS3/CFT2 Duality
• Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
• If you want to cross singularity, wrap it!