On local and integrated stress-tensor commutators
From MaRDI portal
Publication:1981515
DOI10.1007/JHEP07(2021)148zbMATH Open1468.81090arXiv2012.15724MaRDI QIDQ1981515
Author name not available (Why is that?)
Publication date: 3 September 2021
Published in: (Search for Journal in Brave)
Abstract: We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as distributions, and care has to be taken to extract the right distribution from the OPE. We provide explicit computations in two and four-dimensional CFTs, focusing mainly on commutators of components of the stress-tensor. We rederive several familiar results, such as the canonical commutation relations of free field theory, the local form of the Poincar'e algebra, and the Virasoro algebra of two-dimensional CFT. We then consider commutators of light-ray operators built from the stress-tensor. Using simplifying features of the light sheet limit in four-dimensional CFT we provide a direct computation of the BMS algebra formed by a specific set of light-ray operators in theories with no light scalar conformal primaries. In four-dimensional CFT we define a new infinite set of light-ray operators constructed from the stress-tensor, which all have well-defined matrix elements. These are a direct generalization of the two-dimensional Virasoro light-ray operators that are obtained from a conformal embedding of Minkowski space in the Lorentzian cylinder. They obey Hermiticity conditions similar to their two-dimensional analogues, and also share the property that a semi-infinite subset annihilates the vacuum.
Full work available at URL: https://arxiv.org/abs/2012.15724
No records found.
No records found.
This page was built for publication: On local and integrated stress-tensor commutators
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1981515)
