We study correlation functions with multiple averaged null energy (ANEC) operators in conformal field theories. For large N CFTs with a large gap to higher spin operators, we show that the OPE between a local operator and the ANEC can be recast as a particularly simple differential operator acting on the local operator. This operator is simple enough that we can resum it and obtain the finite distance OPE. Under the large N - large gap assumptions, the vanishing of the commutator of ANEC operators tightly constrains the OPE coefficients of the theory. An important example of this phenomenon is the conclusion that a = c in d = 4. This implies that the bulk dual of such a CFT is semi-classical Einstein-gravity with minimally coupled matter.

Belin, A., Hofman, D., Mathys, G. (2019). Einstein gravity from ANEC correlators. JOURNAL OF HIGH ENERGY PHYSICS, 2019(8) [10.1007/JHEP08(2019)032].

Einstein gravity from ANEC correlators

Belin A;
2019

Abstract

We study correlation functions with multiple averaged null energy (ANEC) operators in conformal field theories. For large N CFTs with a large gap to higher spin operators, we show that the OPE between a local operator and the ANEC can be recast as a particularly simple differential operator acting on the local operator. This operator is simple enough that we can resum it and obtain the finite distance OPE. Under the large N - large gap assumptions, the vanishing of the commutator of ANEC operators tightly constrains the OPE coefficients of the theory. An important example of this phenomenon is the conclusion that a = c in d = 4. This implies that the bulk dual of such a CFT is semi-classical Einstein-gravity with minimally coupled matter.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Anomalies in Field and String Theories; Conformal Field Theory;
English
2019
2019
8
32
open
Belin, A., Hofman, D., Mathys, G. (2019). Einstein gravity from ANEC correlators. JOURNAL OF HIGH ENERGY PHYSICS, 2019(8) [10.1007/JHEP08(2019)032].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396353
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