PoS - Proceedings of Science
Volume 318 - Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) - Training School “Quantum Spacetime and Physics Models”
Noncommutative Wilson lines in higher-spin theory and correlators of free conformal fields
D. De Filippi*, R. Bonezzi, N. Boulanger and P. Sundell
Full text: pdf
Pre-published on: August 22, 2018
Published on: August 24, 2018
In this note, we review the results of 1705.03928 on a special class of observables of Vasiliev’s
four-dimensional higher spin gravity theory, referred to as zero-form charges. These objects were
shown to be twisted open Wilson lines in the noncommutative twistor Z space. For boundary
conditions corresponding to higher spin fields in asymptically anti-de Sitter spacetime, their classical
perturbative expansion was then proven to start with cyclically-invariant building blocks of
n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three
dimensions. On the CFT side, the proof involves the explicit computation of the aforementioned
building blocks in arbitrary dimension d > 2, which generalizes known results on 3-point functions
for any d > 2, and on n-point functions for d = 3.
DOI: https://doi.org/10.22323/1.318.0137
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