Bounds on OPE coefficients from interference effects in the conformal collider
Abstract We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, TTO $$ \left\langle TT\mathcal{O}\right\rangle $$, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimens...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)032 |
| _version_ | 1798045141116649472 |
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| author | Clay Córdova Juan Maldacena Gustavo J. Turiaci |
| author_facet | Clay Córdova Juan Maldacena Gustavo J. Turiaci |
| author_sort | Clay Córdova |
| collection | DOAJ |
| description | Abstract We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, TTO $$ \left\langle TT\mathcal{O}\right\rangle $$, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimensional CFTs, which are encoded in three-point functions of the form 〈T T J 〉. In theories with a large N AdS dual we translate these bounds into constraints on the coefficient of a higher derivative bulk term of the form ∫ϕ W 2. We speculate that these bounds also apply in de-Sitter. In this case our results constrain inflationary observables, such as the amplitude for chiral gravity waves that originate from higher derivative terms in the Lagrangian of the form ϕ W W ∗. |
| first_indexed | 2024-04-11T23:15:48Z |
| format | Article |
| id | doaj.art-c80bfaa6e2fc472eafec94cd6d3af4f8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T23:15:48Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c80bfaa6e2fc472eafec94cd6d3af4f82022-12-22T03:57:37ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171113910.1007/JHEP11(2017)032Bounds on OPE coefficients from interference effects in the conformal colliderClay Córdova0Juan Maldacena1Gustavo J. Turiaci2School of Natural Sciences, Institute for Advanced StudySchool of Natural Sciences, Institute for Advanced StudyPhysics Department, Princeton UniversityAbstract We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, TTO $$ \left\langle TT\mathcal{O}\right\rangle $$, in general CFTs. We also constrain the gravitational anomaly of U(1) currents in four-dimensional CFTs, which are encoded in three-point functions of the form 〈T T J 〉. In theories with a large N AdS dual we translate these bounds into constraints on the coefficient of a higher derivative bulk term of the form ∫ϕ W 2. We speculate that these bounds also apply in de-Sitter. In this case our results constrain inflationary observables, such as the amplitude for chiral gravity waves that originate from higher derivative terms in the Lagrangian of the form ϕ W W ∗.http://link.springer.com/article/10.1007/JHEP11(2017)032AdS-CFT CorrespondenceConformal Field TheoryAnomalies in Field and String Theories |
| spellingShingle | Clay Córdova Juan Maldacena Gustavo J. Turiaci Bounds on OPE coefficients from interference effects in the conformal collider Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Anomalies in Field and String Theories |
| title | Bounds on OPE coefficients from interference effects in the conformal collider |
| title_full | Bounds on OPE coefficients from interference effects in the conformal collider |
| title_fullStr | Bounds on OPE coefficients from interference effects in the conformal collider |
| title_full_unstemmed | Bounds on OPE coefficients from interference effects in the conformal collider |
| title_short | Bounds on OPE coefficients from interference effects in the conformal collider |
| title_sort | bounds on ope coefficients from interference effects in the conformal collider |
| topic | AdS-CFT Correspondence Conformal Field Theory Anomalies in Field and String Theories |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)032 |
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