Constraining conformal field theories with a higher spin symmetry

DOI10.1088/1751-8113/46/21/214011zbMATH Open1339.81089arXiv1112.1016OpenAlexW2128233898WikidataQ56388383 ScholiaQ56388383MaRDI QIDQ4928809

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Publication date: 18 June 2013

Published in: (Search for Journal in Brave)

Abstract: We study the constraints imposed by the existence of a single higher spin conserved current on a three dimensional conformal field theory. A single higher spin conserved current implies the existence of an infinite number of higher spin conserved currents. The correlation functions of the stress tensor and the conserved currents are then shown to be equal to those of a free field theory. Namely a theory of N free bosons or free fermions. This is an extension of the Coleman-Mandula theorem to CFT's, which do not have a conventional S matrix. We also briefly discuss the case where the higher spin symmetries are "slightly" broken.

Full work available at URL: https://arxiv.org/abs/1112.1016

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