A conformal collider for holographic CFTs
Abstract We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal collider-type experiment for these class of CFTs an...
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doaj-afe7422e29bb4ee8ac8b0a1cee0e86e72020-11-25T02:42:39ZengSpringerOpenJournal of High Energy Physics1029-84792018-10-0120181015010.1007/JHEP10(2018)156A conformal collider for holographic CFTsNima Afkhami-Jeddi0Sandipan Kundu1Amirhossein Tajdini2Department of Physics, Cornell UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics, Cornell UniversityAbstract We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal collider-type experiment for these class of CFTs and hence it has the advantage of requiring knowledge only about CFT three-point functions. This is accomplished by considering the holographic null energy operator which was introduced in [1] as a generalization of the averaged null energy operator. Analyticity properties of correlators in the Regge limit imply that the holographic null energy operator is a positive operator in a subspace of the total CFT Hilbert space. Utilizing this positivity condition, we derive bounds on three-point functions 〈TO 1 O 2〉 of the stress tensor with various operators for CFTs with large central charge and a sparse spectrum. After imposing these constraints, we also find that the operator product expansions of all primary operators in the Regge limit have certain universal properties. All of these results are consistent with the expectation that CFTs in this class, irrespective of their microscopic details, admit universal gravity-like holographic dual descriptions. Furthermore, this connection enables us to constrain various inflationary observables such as the amplitude of chiral gravity waves, non-gaussanity of gravity waves and tensor-to-scalar ratio.http://link.springer.com/article/10.1007/JHEP10(2018)156AdS-CFT CorrespondenceConformal Field TheoryModels of Quantum Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nima Afkhami-Jeddi Sandipan Kundu Amirhossein Tajdini |
spellingShingle |
Nima Afkhami-Jeddi Sandipan Kundu Amirhossein Tajdini A conformal collider for holographic CFTs Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
author_facet |
Nima Afkhami-Jeddi Sandipan Kundu Amirhossein Tajdini |
author_sort |
Nima Afkhami-Jeddi |
title |
A conformal collider for holographic CFTs |
title_short |
A conformal collider for holographic CFTs |
title_full |
A conformal collider for holographic CFTs |
title_fullStr |
A conformal collider for holographic CFTs |
title_full_unstemmed |
A conformal collider for holographic CFTs |
title_sort |
conformal collider for holographic cfts |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2018-10-01 |
description |
Abstract We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal collider-type experiment for these class of CFTs and hence it has the advantage of requiring knowledge only about CFT three-point functions. This is accomplished by considering the holographic null energy operator which was introduced in [1] as a generalization of the averaged null energy operator. Analyticity properties of correlators in the Regge limit imply that the holographic null energy operator is a positive operator in a subspace of the total CFT Hilbert space. Utilizing this positivity condition, we derive bounds on three-point functions 〈TO 1 O 2〉 of the stress tensor with various operators for CFTs with large central charge and a sparse spectrum. After imposing these constraints, we also find that the operator product expansions of all primary operators in the Regge limit have certain universal properties. All of these results are consistent with the expectation that CFTs in this class, irrespective of their microscopic details, admit universal gravity-like holographic dual descriptions. Furthermore, this connection enables us to constrain various inflationary observables such as the amplitude of chiral gravity waves, non-gaussanity of gravity waves and tensor-to-scalar ratio. |
topic |
AdS-CFT Correspondence Conformal Field Theory Models of Quantum Gravity |
url |
http://link.springer.com/article/10.1007/JHEP10(2018)156 |
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