☆ 4.3 Article

Constraining conformal field theory with higher spin symmetry in four dimensions

NUCLEAR PHYSICS B (2013)

期刊

NUCLEAR PHYSICS B

卷 876, 期 2, 页码 651-666

出版社

ELSEVIER SCIENCE BV

DOI: 10.1016/j.nuclphysb.2013.09.002

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Physics, Particles & Fields

资金

MIUR-PRIN [2009-KHZKRX-005]
Galileo Galilei Institute for Theoretical Physics in Florence

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Reagent

摘要

We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four dimensions. In particular, we show that all these correlation functions will have at most double pole singularities. We then compute the 4-, 5- and 6-point functions of the stress-energy tensor and find that they are linear combinations of the three free field expressions (scalar, fermion and Maxwell field). This is a strong indication that all such theories are essentially free. (C) 2013 Elsevier B.V. All rights reserved.

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