Long string scattering in c = 1 string theory

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 ampli...

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Main Authors: Balthazar, Bruno, Rodriguez, Victor A, Yin, Xi, Rodriguez, Victor A.
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2020
Online Access:https://hdl.handle.net/1721.1/124843
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author Balthazar, Bruno
Rodriguez, Victor A
Yin, Xi
Rodriguez, Victor A.
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Balthazar, Bruno
Rodriguez, Victor A
Yin, Xi
Rodriguez, Victor A.
author_sort Balthazar, Bruno
collection MIT
description 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. ©2019
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spelling mit-1721.1/1248432022-10-01T02:12:31Z Long string scattering in c = 1 string theory Balthazar, Bruno Rodriguez, Victor A Yin, Xi Rodriguez, Victor A. Massachusetts Institute of Technology. Center for Theoretical Physics 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. ©2019 2020-04-23T20:46:47Z 2020-04-23T20:46:47Z 2019-01 2019-01-24T04:43:05Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 https://hdl.handle.net/1721.1/124843 Balthazar, Bruno, Victor A. Rodriguez, Xi Yin, and Victor A. Rodriguez, "Long string scattering in c = 1 string theory." Journal of high energy physics 2019 (Dec. 2019): no. 173 doi 10.1007/JHEP01(2019)173 ©2019 Author(s) en 10.1007/JHEP01(2019)173 Journal of high energy physics Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle Balthazar, Bruno
Rodriguez, Victor A
Yin, Xi
Rodriguez, Victor A.
Long string scattering in c = 1 string theory
title Long string scattering in c = 1 string theory
title_full Long string scattering in c = 1 string theory
title_fullStr Long string scattering in c = 1 string theory
title_full_unstemmed Long string scattering in c = 1 string theory
title_short Long string scattering in c = 1 string theory
title_sort long string scattering in c 1 string theory
url https://hdl.handle.net/1721.1/124843
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