Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions

Abstract

We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and radiatively broken at the loop level in flat space. Save the three dimensional theory (which is the Weyl-invariant extension of the new massive gravity), the graviton remains massless and the unitarity requires that the only viable Weyl-invariant quadratic theory is the Weyl-invariant extension of the Einstein-Gauss-Bonnet theory. The Weyl gauge field on the other hand becomes massive. Symmetry breaking scale fixes all the dimensionful parameters in the theory.

arXiv comment14 pages, references added, To appear in Phys. Rev. D

References in corpus (32)

• Massive Gravity in Three Dimensions
• Energy in Generic Higher Curvature Gravity Theories
• More on Massive 3D Gravity
• Gravitational Energy in Quadratic Curvature Gravities
• A class of elementary particle models without any adjustable real parameters
• Ghost-free, finite, fourth order D=3 (alas) gravity
• On the new massive gravity and AdS/CFT
• The Higgs Phenomenon in Quantum Gravity
• Warped AdS_3 black holes in new massive gravity
• Weyl-Gauging and Conformal Invariance
• Born-Infeld extension of new massive gravity
• On Unitarity of Massive Gravity in Three Dimensions
• Conformal Quantum Gravity with the Gauss-Bonnet Term
• Bending AdS Waves with New Massive Gravity
• AdS_3/LCFT_2 - Correlators in New Massive Gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Massive Higher Derivative Gravity in D-dimensional Anti-de Sitter Spacetimes
• Black holes with a null Killing vector in three-dimensional massive gravity
• Unitarity analysis of general Born-Infeld gravity theories
• All unitary cubic curvature gravities in D dimensions
• Holographic Renormalization of New Massive Gravity
• RG flow of Weyl-invariant dilaton gravity
• Canonical Structure of Higher Derivative Gravity in 3D
• More on New Massive Gravity: Exact Solutions
• Spontaneous Symmetry Breaking at Two Loop in 3-d Massless Scalar Electrodynamics
• Maxwell-Chern-Simons Scalar Electrodynamics at Two Loop
• A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Homogeneous vacua of (generalized) new massive gravity
• Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations
• Unitarity of Weyl-Invariant New Massive Gravity and Generation of Graviton Mass via Symmetry Breaking

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• Ghost and tachyon free Weyl gauge theories: a systematic approach
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• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• Unitarity of Weyl-Invariant New Massive Gravity and Generation of Graviton Mass via Symmetry Breaking
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• Gauging the spacetime metric -- looking back and forth a century later
• A modified variational principle for gravity in modified Weyl geometry
• A Noncompact Weyl-Einstein-Yang-Mills Model: A Semiclassical Quantum Gravity
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Lee-Wald Charge and Asymptotic Behaviors of the Weyl-invariant Topologically Massive Gravity
• Cosmology with vector distortion
• Weyl-invariant Higher Curvature Gravity Theories in n Dimensions and Mass Generation by Symmetry Breaking
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling
• Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality