# Positivity of Curvature-Squared Corrections in Gravity.

@article{Cheung2017PositivityOC,
title={Positivity of Curvature-Squared Corrections in Gravity.},
author={Clifford Cheung and Grant N. Remmen},
journal={Physical review letters},
year={2017},
volume={118 5},
pages={
051601
}
}
• Published 9 August 2016
• Physics
• Physical review letters
We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in dimensions greater than 4. Our result follows from unitarity of the spectral representation for a general ultraviolet completion of the GB term.
UV-Complete Gravity Amplitudes and the Triple Product
• Physics
• 2022
We construct an infinite class of new ultraviolet-complete four-graviton scattering amplitudes that reduce to Einstein gravity at low energies, vanish at high energies, are meromorphic, and exhibit a
Entropy bounds on effective field theory from rotating dyonic black holes
• Physics
Physical Review D
• 2019
We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically generated corrections to the Wald entropy of thermodynamically
Higher-derivative corrections to entropy and the weak gravity conjecture in Anti-de Sitter space
• Physics
• 2019
We compute the four-derivative corrections to the geometry, extremality bound, and thermodynamic quantities of AdS-Reissner-Nordstr{o}m black holes for general dimensions and horizon geometries. We
Holographic aspects of a higher curvature massive gravity
• Physics
The European Physical Journal C
• 2019
We study the holographic dual of a massive gravity with Gauss–Bonnet and cubic quasi-topological higher curvature terms. Firstly, we find the energy–momentum two point function of the 4-dimensional
New formulas for amplitudes from higher-dimensional operators
• Mathematics
• 2016
A bstractIn this paper we study tree-level amplitudes from higher-dimensional operators, including F3 operator of gauge theory, and R2, R3 operators of gravity, in the Cachazo-He-Yuan formulation. As
Reverse Bootstrapping: IR Lessons for UV Physics.
• Mathematics
Physical review letters
• 2022
S-matrix bootstrap and positivity bounds are usually viewed as constraints on low-energy theories imposed by the requirement of a standard UV completion. By considering graviton-photon scattering in
Overcharging higher curvature black holes
• Physics
Physical Review D
• 2019
We examine the problem of overcharging extremal and near-extremal black hole solutions of Einstein-Gauss-Bonnet gravity in any dimension, generalizing the result in general relativity. We show that
Graviton multi-point amplitudes for higher-derivative gravity in anti-de Sitter space
• Physics
• 2017
We calculate graviton multi-point amplitudes in an anti-de Sitter black brane background for higher-derivative gravity of arbitrary order in numbers of derivatives. The calculations are performed
On The Finiteness of 6d Supergravity Landscape
• Physics
• 2021
We consider supergravity theories with 8 supercharges in d = 6. We show that all the proposed anomaly free theories with unbounded number of massless modes are restricted to a finite subset and thus
Bounding Violations of the Weak Gravity Conjecture
• Physics
• 2022
: The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein–Maxwell theory. Remarkably, in four dimensions, these combinations appear

## References

SHOWING 1-10 OF 50 REFERENCES
Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Physics
• 2007
We use the real-time finite-temperature AdS/CFT correspondence to compute the effect of general R 2 corrections to the gravitational action in AdS space on the shear viscosity of the dual gauge
Positive signs in massive gravity
• Geology, Physics
• 2016
A bstractWe derive new constraints on massive gravity from unitarity and analyticity of scattering amplitudes. Our results apply to a general effective theory defined by Einstein gravity plus the
Quantum Gravity Constraints from Unitarity and Analyticity
• Physics
• 2016
We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In D≥4 spacetime dimensions, these consistency conditions mandate
The Story of \cal O: Positivity constraints in effective field theories
• Physics
• 2006
We propose a simple method for identifying operators in effective field theories whose coefficients must be positive by causality. We also attempt to clarify the relationship between diverse
On renormalization group flows in four dimensions
• Physics
• 2011
A bstractWe discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in