Universality at large transverse spin in defect CFT
Abstract We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)091 |
| _version_ | 1818248580179165184 |
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| author | Madalena Lemos Pedro Liendo Marco Meineri Sourav Sarkar |
| author_facet | Madalena Lemos Pedro Liendo Marco Meineri Sourav Sarkar |
| author_sort | Madalena Lemos |
| collection | DOAJ |
| description | Abstract We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function [1]. Analyticity of the formula in s implies that the scaling dimensions of the defect operators are aligned in Regge trajectories Δ^s $$ \widehat{\Delta}(s) $$. These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large s spectrum in the spirit of the work of Alday and Maldacena [2]. |
| first_indexed | 2024-12-12T15:22:51Z |
| format | Article |
| id | doaj.art-54495aa2f6844a019246ea0932f43336 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T15:22:51Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-54495aa2f6844a019246ea0932f433362022-12-22T00:20:19ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018915010.1007/JHEP09(2018)091Universality at large transverse spin in defect CFTMadalena Lemos0Pedro Liendo1Marco Meineri2Sourav Sarkar3DESY Hamburg, Theory GroupDESY Hamburg, Theory GroupInstitute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)Institut für Physik und Institut für Mathematik, Humboldt-Universität zu Berlin, IRIS AdlershofAbstract We study the spectrum of local operators living on a defect in a generic conformal field theory, and their coupling to the local bulk operators. We establish the existence of universal accumulation points in the spectrum at large s, s being the charge of the operators under rotations in the space transverse to the defect. Our tools include a formula that inverts the bulk to defect OPE, analogous to the Caron-Huot formula for the four-point function [1]. Analyticity of the formula in s implies that the scaling dimensions of the defect operators are aligned in Regge trajectories Δ^s $$ \widehat{\Delta}(s) $$. These results require the correlator of two local operators and the defect to be bounded in a certain region, a condition that we do not prove in general. We check our conclusions against examples in perturbation theory and holography, and we make specific predictions concerning the spectrum of defect operators on Wilson lines. We also give an interpretation of the large s spectrum in the spirit of the work of Alday and Maldacena [2].http://link.springer.com/article/10.1007/JHEP09(2018)091Conformal Field TheoryBoundary Quantum Field TheoryWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Madalena Lemos Pedro Liendo Marco Meineri Sourav Sarkar Universality at large transverse spin in defect CFT Journal of High Energy Physics Conformal Field Theory Boundary Quantum Field Theory Wilson, ’t Hooft and Polyakov loops |
| title | Universality at large transverse spin in defect CFT |
| title_full | Universality at large transverse spin in defect CFT |
| title_fullStr | Universality at large transverse spin in defect CFT |
| title_full_unstemmed | Universality at large transverse spin in defect CFT |
| title_short | Universality at large transverse spin in defect CFT |
| title_sort | universality at large transverse spin in defect cft |
| topic | Conformal Field Theory Boundary Quantum Field Theory Wilson, ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)091 |
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