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The particle content of (scalar curvature)$^2$ metric-affine gravity

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arxiv 2408.16818 v1 pith:2SRSZ2EO submitted 2024-08-29 hep-th gr-qc

classification hep-thgr-qc
keywords curvaturegravitymetric-affineparticlescalarspacetimesymmetriesabsent
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abstract

Linearizing metric-affine~(scalar curvature)$^2$ gravity -- an ``umbrella'' theory that includes as special cases the metrical, Einstein-Cartan, and Weyl quadratic models -- on top of Minkowski spacetime leads to (numerous) accidental~\emph{gauged}~symmetries. This suggests that the analysis of the spectrum on flat background is hindered by strong coupling effects. Such undesirable symmetries are absent already at the leading nontrivial order in perturbations on non-flat backgrounds, e.g. de Sitter spacetime, which are the appropriate ones for studying the particle dynamics of all these theories.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.

  2. The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive a simpler no-ghost condition based on a kinetic matrix and release a parity-violating upgrade of PSALTer, demonstrating it on Einstein-Cartan gravity with two scalar modes.

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