Defects in conformal field theory

Detalhes bibliográficos
Autor(a) principal: Billò, Marco
Data de Publicação: 2016
Outros Autores: Gonçalves, Vasco [UNESP], Lauria, Edoardo, Meineri, Marco
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/JHEP04(2016)091
http://hdl.handle.net/11449/172840
Resumo: Abstract: We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect. Two-point functions of a bulk and a defect primary are fixed by conformal invariance up to a set of OPE coefficients, and we identify the allowed tensor structures. A correlator of two bulk primaries depends on two cross-ratios, and we study its conformal block decomposition in the case of external scalars. The Casimir equation in the defect channel reduces to a hypergeometric equation, while the bulk channel blocks are recursively determined in the light-cone limit. In the special case of a defect of codimension two, we map the Casimir equation in the bulk channel to the one of a four-point function without defect. Finally, we analyze the contact terms of the stress-tensor with the extended operator, and we deduce constraints on the CFT data. In two dimensions, we relate the displacement operator, which appears among the contact terms, to the reflection coefficient of a conformal interface, and we find unitarity bounds for the latter.
id UNSP_62c8fd5c77673bf8434cdd9146a1c547
oai_identifier_str oai:repositorio.unesp.br:11449/172840
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Defects in conformal field theoryBoundary Quantum Field TheoryConformal and W SymmetryField Theories in Higher DimensionsSpace-Time SymmetriesAbstract: We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect. Two-point functions of a bulk and a defect primary are fixed by conformal invariance up to a set of OPE coefficients, and we identify the allowed tensor structures. A correlator of two bulk primaries depends on two cross-ratios, and we study its conformal block decomposition in the case of external scalars. The Casimir equation in the defect channel reduces to a hypergeometric equation, while the bulk channel blocks are recursively determined in the light-cone limit. In the special case of a defect of codimension two, we map the Casimir equation in the bulk channel to the one of a four-point function without defect. Finally, we analyze the contact terms of the stress-tensor with the extended operator, and we deduce constraints on the CFT data. In two dimensions, we relate the displacement operator, which appears among the contact terms, to the reflection coefficient of a conformal interface, and we find unitarity bounds for the latter.Dipartimento di Fisica Università di Torino and Istituto Nazionale di Fisica Nucleare - sezione di Torino, Via P. Giuria 1Centro de Física do Porto Departamento de Física e Astronomia Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687ICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Univ. Estadual Paulista, Rua Dr. Bento T. Ferraz 271Institute for Theoretical Physics KU Leuven, Celestijnenlaan 200DPerimeter Institute for Theoretical PhysicsScuola Normale Superiore and Istituto Nazionale di Fisica Nucleare - sezione di Pisa, Piazza dei Cavalieri 7ICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Univ. Estadual Paulista, Rua Dr. Bento T. Ferraz 271and Istituto Nazionale di Fisica Nucleare - sezione di TorinoCentro de Física do PortoUniversidade Estadual Paulista (Unesp)KU LeuvenPerimeter Institute for Theoretical Physicsand Istituto Nazionale di Fisica Nucleare - sezione di PisaBillò, MarcoGonçalves, Vasco [UNESP]Lauria, EdoardoMeineri, Marco2018-12-11T17:02:23Z2018-12-11T17:02:23Z2016-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP04(2016)091Journal of High Energy Physics, v. 2016, n. 4, 2016.1029-84791126-6708http://hdl.handle.net/11449/17284010.1007/JHEP04(2016)0912-s2.0-849638050252-s2.0-84963805025.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2024-01-24T06:34:56Zoai:repositorio.unesp.br:11449/172840Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:52:20.612752Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Defects in conformal field theory
title Defects in conformal field theory
spellingShingle Defects in conformal field theory
Billò, Marco
Boundary Quantum Field Theory
Conformal and W Symmetry
Field Theories in Higher Dimensions
Space-Time Symmetries
title_short Defects in conformal field theory
title_full Defects in conformal field theory
title_fullStr Defects in conformal field theory
title_full_unstemmed Defects in conformal field theory
title_sort Defects in conformal field theory
author Billò, Marco
author_facet Billò, Marco
Gonçalves, Vasco [UNESP]
Lauria, Edoardo
Meineri, Marco
author_role author
author2 Gonçalves, Vasco [UNESP]
Lauria, Edoardo
Meineri, Marco
author2_role author
author
author
dc.contributor.none.fl_str_mv and Istituto Nazionale di Fisica Nucleare - sezione di Torino
Centro de Física do Porto
Universidade Estadual Paulista (Unesp)
KU Leuven
Perimeter Institute for Theoretical Physics
and Istituto Nazionale di Fisica Nucleare - sezione di Pisa
dc.contributor.author.fl_str_mv Billò, Marco
Gonçalves, Vasco [UNESP]
Lauria, Edoardo
Meineri, Marco
dc.subject.por.fl_str_mv Boundary Quantum Field Theory
Conformal and W Symmetry
Field Theories in Higher Dimensions
Space-Time Symmetries
topic Boundary Quantum Field Theory
Conformal and W Symmetry
Field Theories in Higher Dimensions
Space-Time Symmetries
description Abstract: We discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric traceless tensors in the presence of the defect. Two-point functions of a bulk and a defect primary are fixed by conformal invariance up to a set of OPE coefficients, and we identify the allowed tensor structures. A correlator of two bulk primaries depends on two cross-ratios, and we study its conformal block decomposition in the case of external scalars. The Casimir equation in the defect channel reduces to a hypergeometric equation, while the bulk channel blocks are recursively determined in the light-cone limit. In the special case of a defect of codimension two, we map the Casimir equation in the bulk channel to the one of a four-point function without defect. Finally, we analyze the contact terms of the stress-tensor with the extended operator, and we deduce constraints on the CFT data. In two dimensions, we relate the displacement operator, which appears among the contact terms, to the reflection coefficient of a conformal interface, and we find unitarity bounds for the latter.
publishDate 2016
dc.date.none.fl_str_mv 2016-04-01
2018-12-11T17:02:23Z
2018-12-11T17:02:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/JHEP04(2016)091
Journal of High Energy Physics, v. 2016, n. 4, 2016.
1029-8479
1126-6708
http://hdl.handle.net/11449/172840
10.1007/JHEP04(2016)091
2-s2.0-84963805025
2-s2.0-84963805025.pdf
url http://dx.doi.org/10.1007/JHEP04(2016)091
http://hdl.handle.net/11449/172840
identifier_str_mv Journal of High Energy Physics, v. 2016, n. 4, 2016.
1029-8479
1126-6708
10.1007/JHEP04(2016)091
2-s2.0-84963805025
2-s2.0-84963805025.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of High Energy Physics
1,227
1,227
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129560174133248