Spinning operators and defects in conformal field theory
Abstract We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Lorentz group. The recipe yields the exp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)066 |
| _version_ | 1818056382052564992 |
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| author | Edoardo Lauria Marco Meineri Emilio Trevisani |
| author_facet | Edoardo Lauria Marco Meineri Emilio Trevisani |
| author_sort | Edoardo Lauria |
| collection | DOAJ |
| description | Abstract We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Lorentz group. The recipe yields the explicit structures in embedding space, and can be applied to any correlator of local operators, with or without a defect. We then focus on the two-point function of traceless symmetric primaries in the presence of a conformal defect, and explain how to compute the conformal blocks. In particular, we illustrate various techniques to generate the bulk channel blocks either from a radial expansion or by acting with differential operators on simpler seed blocks. For the defect channel, we detail a method to compute the blocks in closed form, in terms of projectors into mixed symmetry representations of the orthogonal group. |
| first_indexed | 2024-12-10T12:27:57Z |
| format | Article |
| id | doaj.art-b02297887fda49e280d333205a1a5c00 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T12:27:57Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b02297887fda49e280d333205a1a5c002022-12-22T01:48:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019816910.1007/JHEP08(2019)066Spinning operators and defects in conformal field theoryEdoardo Lauria0Marco Meineri1Emilio Trevisani2Instituut voor Theoretische Fysica, KU LeuvenInstitute of Physics, É cole Polytechnique Fédérale de Lausanne (EPFL)Laboratoire de Physique Théorique, École Normale Supérieure & PSL Research UniversityAbstract We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic representation of the Lorentz group. The recipe yields the explicit structures in embedding space, and can be applied to any correlator of local operators, with or without a defect. We then focus on the two-point function of traceless symmetric primaries in the presence of a conformal defect, and explain how to compute the conformal blocks. In particular, we illustrate various techniques to generate the bulk channel blocks either from a radial expansion or by acting with differential operators on simpler seed blocks. For the defect channel, we detail a method to compute the blocks in closed form, in terms of projectors into mixed symmetry representations of the orthogonal group.http://link.springer.com/article/10.1007/JHEP08(2019)066Boundary Quantum Field TheoryConformal Field TheorySpace-Time SymmetriesWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Edoardo Lauria Marco Meineri Emilio Trevisani Spinning operators and defects in conformal field theory Journal of High Energy Physics Boundary Quantum Field Theory Conformal Field Theory Space-Time Symmetries Wilson, ’t Hooft and Polyakov loops |
| title | Spinning operators and defects in conformal field theory |
| title_full | Spinning operators and defects in conformal field theory |
| title_fullStr | Spinning operators and defects in conformal field theory |
| title_full_unstemmed | Spinning operators and defects in conformal field theory |
| title_short | Spinning operators and defects in conformal field theory |
| title_sort | spinning operators and defects in conformal field theory |
| topic | Boundary Quantum Field Theory Conformal Field Theory Space-Time Symmetries Wilson, ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)066 |
| work_keys_str_mv | AT edoardolauria spinningoperatorsanddefectsinconformalfieldtheory AT marcomeineri spinningoperatorsanddefectsinconformalfieldtheory AT emiliotrevisani spinningoperatorsanddefectsinconformalfieldtheory |