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The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of…

High Energy Physics - Theory · Physics 2020-06-04 A. Anastasiou , L. Borsten , M. J. Duff , S. Nagy , M. Zoccali

In the present paper we consider a theory of gravity in which not only curvature but also torsion is explicitly present in the Lagrangian, both with their own coupling constant. In particular, we discuss the couplings to Dirac fields and…

General Relativity and Quantum Cosmology · Physics 2012-12-06 Luca Fabbri , Stefano Vignolo , Cosimo Stornaiolo

The gauge-gravity duality can be used to relate connected multi-point graviton functions to connected multi-point correlation functions of the stress tensor of a strongly coupled fluid. Here, we show how to construct the connected graviton…

High Energy Physics - Theory · Physics 2015-06-12 Ram Brustein , A. J. M. Medved

Holographic entanglement entropy and the first law of thermodynamics are believed to decode the gravity theory in the bulk. In particular, assuming the Ryu-Takayanagi (RT)\cite{ryu-takayanagi} formula holds for ball-shaped regions on the…

High Energy Physics - Theory · Physics 2022-09-05 Cunwei Fan , Gabriele La Nave , Philip W. Phillips

An important theoretical achievement of the last century was the realization that strict renormalizability can be a powerful criterion to select Lagrangians in the framework of perturbative quantum field theory. The Standard Model…

High Energy Physics - Theory · Physics 2025-07-21 Luca Buoninfante

We observe that the replacement of the Riemann curvature with the generalized Riemann curvature into the corrections to the type II supergravity at order $\alpha'^3$ which are in terms of the contractions of four Riemann curvatures $R^4$,…

High Energy Physics - Theory · Physics 2013-08-09 Mohammad R. Garousi

We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables…

High Energy Physics - Theory · Physics 2023-06-07 Simon Caron-Huot , Yue-Zhou Li , Julio Parra-Martinez , David Simmons-Duffin

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

General Relativity and Quantum Cosmology · Physics 2011-09-30 J. Hwang

We show that it is possible to formulate gravity with a complex vierbein based on SL(2,C) gauge invariance. The proposed action is a four-form where the metric is not introduced but results as a function of the complex vierbein. This…

High Energy Physics - Theory · Physics 2009-11-10 Ali H. Chamseddine

This paper gives a twistor-string formulation for all tree amplitudes of Einstein (super-)gravities for N=0 and 4. Formulae are given with and without cosmological constant and with various possibilities for the gauging. The formulae are…

High Energy Physics - Theory · Physics 2015-06-04 Tim Adamo , Lionel J. Mason

In Cuzinatto et al. [Phys. Rev. D 93, 124034 (2016)], it has been demonstrated that theories of gravity in which the Lagrangian includes terms depending on the scalar curvature $R$ and its derivatives up to order $n$, i.e.…

General Relativity and Quantum Cosmology · Physics 2019-05-07 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

The construction of a consistent theory of quantum gravity is a problem in theoretical physics that has so far defied all attempts at resolution. One ansatz to try to obtain a non-trivial quantum theory proceeds via a discretization of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 R. Loll

The quantum field theoretic description of general relativity is a modern approach to gravity where gravitational force is carried by spin-2 gravitons. In the classical limit of this theory, general relativity as described by the Einstein…

High Energy Physics - Theory · Physics 2020-10-20 Gustav Uhre Jakobsen

The so-called $\Gamma\Gamma$-form of the gravitational Lagrangian, long known to provide its most compact expression as well as the most efficient generation of the graviton vertices, is taken as the starting point for discussing General…

High Energy Physics - Theory · Physics 2017-10-25 E. T. Tomboulis

Inspired by recent studies on string theory with non-geometric fluxes, we develop a differential geometry calculus combining usual diffeomorphisms with what we call beta-diffeomorphisms. This allows us to construct a manifestly bi-invariant…

High Energy Physics - Theory · Physics 2013-04-16 Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke

Results ranging from Ashtekar variables to the perturbative Bern-Carrasco-Johansson (BCJ) double copy suggest a deep relation between Yang-Mills theory and Einstein gravity. I examine this relation by writing down the tetradic Palatini…

General Relativity and Quantum Cosmology · Physics 2021-10-05 Vojtěch Witzany

In the effective field theory approach to gravity, the Lagrangian density for general relativity is supplemented by generally covariant terms of higher order in the Riemann tensor and its derivatives. At face value, these terms will result…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Dražen Glavan , Shinji Mukohyama , Tom Zlosnik

We describe an infinite-parametric class of effective metric Lagrangians that arise from an underlying theory with two propagating degrees of freedom. The Lagrangians start with the Einstein-Hilbert term, continue with the standard R^2,…

High Energy Physics - Theory · Physics 2010-04-21 Kirill Krasnov

A possible Yang-Mills like lagrangian formulation for gravity is explored. The starting point consists on two next assumptions. First, the metric is assumed as a real map from a given gauge group. Second, a gauge invariant lagrangian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan

We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the…

High Energy Physics - Theory · Physics 2020-07-15 L. Borsten , I Jubb , V. Makwana , S. Nagy