A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.
Einstein Gravity from Conformal Gravity
8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean anti-de Sitter spacetimes. This simple Neumann boundary condition selects the Einstein solution out of the more numerous solutions of conformal gravity. It thus removes the ghosts of conformal gravity from this computation. In the case of a five dimensional pure gravity theory with a positive cosmological constant we show that the late time superhorizon tree level probability measure, $|\Psi [ g ]|^2$, for its four dimensional spatial slices is given by the action of Euclidean four dimensional conformal gravity.
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In derived-type higher-derivative theories, Noether's theorem produces an n-parameter family of conserved second-rank tensors from each isometry, with stability when the wave operator polynomial has simple real roots.
Superradiant amplification of charged scalar fields around rotating charged de Sitter black holes is suppressed in conformal Weyl gravity relative to general relativity, with strong exponential suppression for massive fields in the cosmological region.
Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
Weyl quadratic gauge gravity is anomaly-free, breaks via Stueckelberg to Einstein-Hilbert plus positive Lambda, and is the leading order of a regulator-free WDBI action that can include the SM.
Anomaly cancellation for specific multiplet numbers in conformal supergravities implies divergences proportional to n_v+2 in 4d PSG and n_T-21 in 6d PSG.
Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.
citing papers explorer
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Escape from Ostrogradsky via Hidden Ghost Parity
A four-derivative UV-complete QFT is shown to have consistent perturbative scattering by quantizing on a Krein space with an embedded two-field O(1,1) theory that enforces ghost parity and positive probabilities.
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Conservation Laws and Stability of Field Theories of Derived Type
In derived-type higher-derivative theories, Noether's theorem produces an n-parameter family of conserved second-rank tensors from each isometry, with stability when the wave operator polynomial has simple real roots.
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Superradiant Suppression of Non-minimally Coupled Scalar fields for a Rotating Charged dS Black Hole in Conformal Weyl Gravity
Superradiant amplification of charged scalar fields around rotating charged de Sitter black holes is suppressed in conformal Weyl gravity relative to general relativity, with strong exponential suppression for massive fields in the cosmological region.
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How to deal with conformal and pure scale-invariant theories of gravity in d dimensions?
Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
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The fall and the rise of Weyl gauge theory
Weyl quadratic gauge gravity is anomaly-free, breaks via Stueckelberg to Einstein-Hilbert plus positive Lambda, and is the leading order of a regulator-free WDBI action that can include the SM.
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On anomaly free 4d $\mathcal{N}$=4 and 6d (2,0) conformal supergravities and UV finiteness of Poincar\'e supergravities
Anomaly cancellation for specific multiplet numbers in conformal supergravities implies divergences proportional to n_v+2 in 4d PSG and n_T-21 in 6d PSG.
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Causality Violating Solutions in Curvature-Squared Gravity
Godel and Godel-type metrics satisfy the curvature-squared field equations as causal solutions with all Weyl tensor contributions removed, while an axially symmetric metric shows Weyl-dependent modifications to energy density and the weak energy condition.
- Weyl conformal geometry vs Riemannian geometry of Weyl gauge invariant (dressed) metric