Einstein gravity from ANEC correlators
- Resource Type
- article
- Authors
- Alexandre Belin; Diego M. Hofman; Grégoire Mathys
- Source
- Journal of High Energy Physics, Vol 2019, Iss 8, Pp 1-43 (2019)
- Subject
- AdS-CFT Correspondence
Conformal Field Theory
Anomalies in Field and String Theories
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
- Language
- English
- ISSN
- 1029-8479
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.