Noncommutative Wilson lines in higher-spin theory and correlation functions of conserved currents for free conformal fields
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Archivos
Fecha
2017-11
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
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Título del volumen
Editor
Institute of Physics Publishing
Nombre de Curso
Licencia CC
CC BY 3.0 CL DEED
Licencia CC
https://creativecommons.org/licenses/by/3.0/cl/deed.es
Resumen
We first prove that, in Vasiliev's theory, the zero-form charges studied in Sezgin E and Sundell P 2011 (arXiv:1103.2360 [hep-th]) and Colombo N and Sundell P 20 (arXiv:1208.3880 [hep-th]) are twisted open Wilson lines in the noncommutative Z space. This is shown by mapping Vasiliev's higher-spin model on noncommutative Yang-Mills theory. We then prove that, prior to Bose-symmetrising, the cyclically-symmetric higher-spin invariants given by the leading order of these n-point zero-form charges are equal to corresponding cyclically-invariant building blocks of n-point correlation functions of bilinear operators in free conformal field theories (CFT) in three dimensions. On the higher spin gravity side, our computation reproduces the results of Didenko V and Skvortsov E 2013 J. High Energy Phys. JHEP04(2013)158 using an alternative method amenable to the computation of subleading corrections obtained by perturbation theory in normal order. On the free CFT side, our proof involves the explicit computation of the separate cyclic building blocks of the correlation functions of n conserved currents in arbitrary dimension using polarization vectors, which is an original result. It is shown to agree, for d = 3, with the results obtained in Gelfond O A and Vasiliev M A 2013 Nucl. Phys. B 876 871-917 in various dimensions and where polarization spinors were used. © 2017 IOP Publishing Ltd.
Notas
Indexación: Scopus
Palabras clave
conformal field theory, higher-spin gauge theory, non-commutative field theory
Citación
Journal of Physics A: Mathematical and Theoretical Volume 50, Issue 471 November 2017 Article number 475401
DOI
10.1088/1751-8121/aa8efa