A proof for string three-point functions in AdS 3

Autores
Bufalini, Davide; Iguri, Sergio Manuel; Kovensky, Nicolas
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Correlation functions of the SL(2,ℝ)-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [1]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [2] based on the so-called SL(2,ℝ) series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS3/CFT2 holographic duality at finite ’t Hooft coupling.
Fil: Bufalini, Davide. University of Southampton; Reino Unido
Fil: Iguri, Sergio Manuel. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Kovensky, Nicolas. Universite Paris-saclay (universite Paris-saclay); . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
ADS-CFT CORRESPONDENCE
CONFORMAL FIELD MODELS IN STRING THEORY
LONG STRINGS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/228010
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/228010
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A proof for string three-point functions in AdS 3Bufalini, DavideIguri, Sergio ManuelKovensky, NicolasADS-CFT CORRESPONDENCECONFORMAL FIELD MODELS IN STRING THEORYLONG STRINGShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Correlation functions of the SL(2,ℝ)-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [1]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [2] based on the so-called SL(2,ℝ) series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS3/CFT2 holographic duality at finite ’t Hooft coupling.Fil: Bufalini, Davide. University of Southampton; Reino UnidoFil: Iguri, Sergio Manuel. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Kovensky, Nicolas. Universite Paris-saclay (universite Paris-saclay); . Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2023-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/228010Bufalini, Davide; Iguri, Sergio Manuel; Kovensky, Nicolas; A proof for string three-point functions in AdS 3; Springer; Journal of High Energy Physics; 2023; 2; 3-2023; 1-251029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP02(2023)246info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:18:51Zoai:ri.conicet.gov.ar:11336/228010instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:18:51.587CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A proof for string three-point functions in AdS 3
title A proof for string three-point functions in AdS 3
spellingShingle A proof for string three-point functions in AdS 3
Bufalini, Davide
ADS-CFT CORRESPONDENCE
CONFORMAL FIELD MODELS IN STRING THEORY
LONG STRINGS
title_short A proof for string three-point functions in AdS 3
title_full A proof for string three-point functions in AdS 3
title_fullStr A proof for string three-point functions in AdS 3
title_full_unstemmed A proof for string three-point functions in AdS 3
title_sort A proof for string three-point functions in AdS 3
dc.creator.none.fl_str_mv Bufalini, Davide
Iguri, Sergio Manuel
Kovensky, Nicolas
author Bufalini, Davide
author_facet Bufalini, Davide
Iguri, Sergio Manuel
Kovensky, Nicolas
author_role author
author2 Iguri, Sergio Manuel
Kovensky, Nicolas
author2_role author
author
dc.subject.none.fl_str_mv ADS-CFT CORRESPONDENCE
CONFORMAL FIELD MODELS IN STRING THEORY
LONG STRINGS
topic ADS-CFT CORRESPONDENCE
CONFORMAL FIELD MODELS IN STRING THEORY
LONG STRINGS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Correlation functions of the SL(2,ℝ)-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [1]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [2] based on the so-called SL(2,ℝ) series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS3/CFT2 holographic duality at finite ’t Hooft coupling.
Fil: Bufalini, Davide. University of Southampton; Reino Unido
Fil: Iguri, Sergio Manuel. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Kovensky, Nicolas. Universite Paris-saclay (universite Paris-saclay); . Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Correlation functions of the SL(2,ℝ)-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [1]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [2] based on the so-called SL(2,ℝ) series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS3/CFT2 holographic duality at finite ’t Hooft coupling.
publishDate 2023
dc.date.none.fl_str_mv 2023-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/228010
Bufalini, Davide; Iguri, Sergio Manuel; Kovensky, Nicolas; A proof for string three-point functions in AdS 3; Springer; Journal of High Energy Physics; 2023; 2; 3-2023; 1-25
1029-8479
CONICET Digital
CONICET
url http://hdl.handle.net/11336/228010
identifier_str_mv Bufalini, Davide; Iguri, Sergio Manuel; Kovensky, Nicolas; A proof for string three-point functions in AdS 3; Springer; Journal of High Energy Physics; 2023; 2; 3-2023; 1-25
1029-8479
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP02(2023)246
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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