Long string scattering in c = 1 string theory

A bstract 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 str...

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Bibliographic Details
Published in:The journal of high energy physics 2019-01, Vol.2019 (1), p.1-36, Article 173
Main Authors: Balthazar, Bruno, Rodriguez, Victor A., Yin, Xi
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Amplitudes
Bosonic Strings
Branes
Classical and Quantum Gravitation
D-branes
Decoupling
Elementary Particles
Field theory
High energy physics
Long strings
M(atrix) Theories
Mathematical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum mechanics
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering
String Theory
Strings
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2019)173