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Einstein gravity from ANEC correlators | | Alexandre Belin
; Diego M. Hofman
; Gregoire Mathys
; | | Date: |
11 Apr 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. | | Source: | arXiv, 1904.5892 | | Services: | Forum | Review | PDF | Favorites | |
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