Bootstrapping conformal defect operators on a line
Abstract We study a conformal field theory with cubic anisotropic symmetry in presence of a line defect. We compute the correlators of the low lying defect operators using Feynman diagrams and derive explicit expressions for the two, three and four point defect correlators at the cubic fixed point i...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)129 |
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| author | Parijat Dey Kausik Ghosh |
| author_facet | Parijat Dey Kausik Ghosh |
| author_sort | Parijat Dey |
| collection | DOAJ |
| description | Abstract We study a conformal field theory with cubic anisotropic symmetry in presence of a line defect. We compute the correlators of the low lying defect operators using Feynman diagrams and derive explicit expressions for the two, three and four point defect correlators at the cubic fixed point in 4 – ϵ dimensions to O(ϵ). We also compute the defect g-function for this setup and demonstrate that this is in agreement with the g-theorem, which states that the g-function is monotonic under the renormalisation group flow along the defect. Next, we focus on conformal bootstrap techniques to determine the CFT data associated with the defect operators, which is the main objective of the paper. We utilize the framework of crossing symmetric Polyakov bootstrap and compute the averaged CFT data to O(ϵ) up to a finite number of ambiguities. We comment on unmixing the CFT data for the double trace operators at O(ϵ) and use this to compute the O(ϵ 2) data. Finally, we study these defect correlators non-perturbatively using numerical methods and isolate them near the free theory limit close to four dimensions. |
| format | Article |
| id | doaj-art-224b61075f074e25b5a8e25323749b49 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-224b61075f074e25b5a8e25323749b492025-08-20T02:20:41ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241013510.1007/JHEP10(2024)129Bootstrapping conformal defect operators on a lineParijat Dey0Kausik Ghosh1Department of Astrophysics and High Energy Physics, S.N. Bose National Centre for Basic SciencesLaboratoire de Physique Théorique, de l’École Normale Supérieure, PSL University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06Abstract We study a conformal field theory with cubic anisotropic symmetry in presence of a line defect. We compute the correlators of the low lying defect operators using Feynman diagrams and derive explicit expressions for the two, three and four point defect correlators at the cubic fixed point in 4 – ϵ dimensions to O(ϵ). We also compute the defect g-function for this setup and demonstrate that this is in agreement with the g-theorem, which states that the g-function is monotonic under the renormalisation group flow along the defect. Next, we focus on conformal bootstrap techniques to determine the CFT data associated with the defect operators, which is the main objective of the paper. We utilize the framework of crossing symmetric Polyakov bootstrap and compute the averaged CFT data to O(ϵ) up to a finite number of ambiguities. We comment on unmixing the CFT data for the double trace operators at O(ϵ) and use this to compute the O(ϵ 2) data. Finally, we study these defect correlators non-perturbatively using numerical methods and isolate them near the free theory limit close to four dimensions.https://doi.org/10.1007/JHEP10(2024)129Global SymmetriesRenormalization and RegularizationRenormalization GroupScale and Conformal Symmetries |
| spellingShingle | Parijat Dey Kausik Ghosh Bootstrapping conformal defect operators on a line Journal of High Energy Physics Global Symmetries Renormalization and Regularization Renormalization Group Scale and Conformal Symmetries |
| title | Bootstrapping conformal defect operators on a line |
| title_full | Bootstrapping conformal defect operators on a line |
| title_fullStr | Bootstrapping conformal defect operators on a line |
| title_full_unstemmed | Bootstrapping conformal defect operators on a line |
| title_short | Bootstrapping conformal defect operators on a line |
| title_sort | bootstrapping conformal defect operators on a line |
| topic | Global Symmetries Renormalization and Regularization Renormalization Group Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP10(2024)129 |
| work_keys_str_mv | AT parijatdey bootstrappingconformaldefectoperatorsonaline AT kausikghosh bootstrappingconformaldefectoperatorsonaline |