Scale and conformal invariance on (A)dS spacetimes

Farnsworth, Kara; Hinterbichler, Kurt; Hulík, Ondřej

doi:10.1103/PhysRevD.110.045011

Title: Scale and conformal invariance on (A)dS spacetimes

Journal Article · 08 August 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.045011 · OSTI ID:2427417

; Hinterbichler, Kurt; Hulík, Ondřej

We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general two-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D > 4$ , these conformal theories can be diagonalized into standard massive fields in which unbroken conformal symmetry nontrivially mixes components of different spins. In $D = 4$ , the tensor case becomes a conformal theory mixing a partially massless spin-2 field with a massless spin-1 field. For massless linearized gravity in $D = 4$ , we confirm through direct calculation that correlation functions of gauge-invariant operators take the conformally invariant form, despite the absence of standard conformal symmetry at the level of the action. Published by the American Physical Society 2024

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Research Organization:: Case Western Reserve Univ., Cleveland, OH (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0009946

OSTI ID:: 2427417

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 4 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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