What Maxwell theory in \(d\neq 4\) teaches us about scale and conformal invariance?

DOI10.1016/J.NUCLPHYSB.2011.03.008zbMATH Open1215.78006arXiv1101.5385OpenAlexW3023209178MaRDI QIDQ545256

Author name not available (Why is that?)

Publication date: 22 June 2011

Published in: (Search for Journal in Brave)

Abstract: The free Maxwell theory in D<>4 dimensions provides a physical example of a unitary, scale invariant theory which is NOT conformally invariant. The easiest way to see this is that the field strength operator F_mn is neither a primary nor a descendant. We show how conformal multiplets can be completed, and conformality restored, by adding new local operators to the theory. In D>=5, this can only be done by sacrificing unitarity of the extended Hilbert space. We analyze the full symmetry structure of the extended theory, which turns out to be related to the OSp(D,2|2) superalgebra.

Full work available at URL: https://arxiv.org/abs/1101.5385

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