Interpolating Boundary Conditions on AdS2

Autores
Canazas Garay, Anthony; Correa, Diego Hernán; Faraggi, Alberto; Silva, Guillermo Ariel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; R) conformal group is not immediate given the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2 ⊂ AdS4 × CP3 worldsheet and identify the scalar field with one of the fluctuations in CP3 , thus obtaining correlators of excitations inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.
Fil: Canazas Garay, Anthony. Universidad Andrés Bello; Chile
Fil: Correa, Diego Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Faraggi, Alberto. Universidad Andrés Bello; Chile
Fil: Silva, Guillermo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
ADS/CFT
Wilson Loops
Holography
Boundary conditions
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:11336/242185
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Interpolating Boundary Conditions on AdS2Canazas Garay, AnthonyCorrea, Diego HernánFaraggi, AlbertoSilva, Guillermo ArielADS/CFTWilson LoopsHolographyBoundary conditionshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; R) conformal group is not immediate given the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2 ⊂ AdS4 × CP3 worldsheet and identify the scalar field with one of the fluctuations in CP3 , thus obtaining correlators of excitations inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.Fil: Canazas Garay, Anthony. Universidad Andrés Bello; ChileFil: Correa, Diego Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Faraggi, Alberto. Universidad Andrés Bello; ChileFil: Silva, Guillermo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaSpringer2023-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242185Canazas Garay, Anthony; Correa, Diego Hernán; Faraggi, Alberto; Silva, Guillermo Ariel; Interpolating Boundary Conditions on AdS2; Springer; Journal of High Energy Physics; 146; 2-2023; 146-1671126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP02(2023)146info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP02(2023)146info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:58:15Zoai:ri.conicet.gov.ar:11336/242185instacron: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 09:58:16.282CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Interpolating Boundary Conditions on AdS2
title Interpolating Boundary Conditions on AdS2
spellingShingle Interpolating Boundary Conditions on AdS2
Canazas Garay, Anthony
ADS/CFT
Wilson Loops
Holography
Boundary conditions
title_short Interpolating Boundary Conditions on AdS2
title_full Interpolating Boundary Conditions on AdS2
title_fullStr Interpolating Boundary Conditions on AdS2
title_full_unstemmed Interpolating Boundary Conditions on AdS2
title_sort Interpolating Boundary Conditions on AdS2
dc.creator.none.fl_str_mv Canazas Garay, Anthony
Correa, Diego Hernán
Faraggi, Alberto
Silva, Guillermo Ariel
author Canazas Garay, Anthony
author_facet Canazas Garay, Anthony
Correa, Diego Hernán
Faraggi, Alberto
Silva, Guillermo Ariel
author_role author
author2 Correa, Diego Hernán
Faraggi, Alberto
Silva, Guillermo Ariel
author2_role author
author
author
dc.subject.none.fl_str_mv ADS/CFT
Wilson Loops
Holography
Boundary conditions
topic ADS/CFT
Wilson Loops
Holography
Boundary conditions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; R) conformal group is not immediate given the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2 ⊂ AdS4 × CP3 worldsheet and identify the scalar field with one of the fluctuations in CP3 , thus obtaining correlators of excitations inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.
Fil: Canazas Garay, Anthony. Universidad Andrés Bello; Chile
Fil: Correa, Diego Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Faraggi, Alberto. Universidad Andrés Bello; Chile
Fil: Silva, Guillermo Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We consider boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; R) conformal group is not immediate given the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2 ⊂ AdS4 × CP3 worldsheet and identify the scalar field with one of the fluctuations in CP3 , thus obtaining correlators of excitations inserted along a 1-dimensional defect in N = 6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.
publishDate 2023
dc.date.none.fl_str_mv 2023-02
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/11336/242185
Canazas Garay, Anthony; Correa, Diego Hernán; Faraggi, Alberto; Silva, Guillermo Ariel; Interpolating Boundary Conditions on AdS2; Springer; Journal of High Energy Physics; 146; 2-2023; 146-167
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242185
identifier_str_mv Canazas Garay, Anthony; Correa, Diego Hernán; Faraggi, Alberto; Silva, Guillermo Ariel; Interpolating Boundary Conditions on AdS2; Springer; Journal of High Energy Physics; 146; 2-2023; 146-167
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP02(2023)146
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP02(2023)146
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
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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