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An elegant unified web for amplitudes of various theories was given by Cachazo, He and Yuan in the CHY framework a few years ago. Recently, similar web has also been constructed by Cheung, Shen and Wen, which relies on a set of differential…

High Energy Physics - Theory · Physics 2018-10-24 Kang Zhou , Bo Feng

In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the…

High Energy Physics - Theory · Physics 2017-09-27 N. Boulanger , M. Henneaux

We construct invariant differential operators acting on sections of vector bundles of densities over a smooth manifold without using a Riemannian metric. The spectral invariants of such operators are invariant under both the diffeomorphisms…

High Energy Physics - Theory · Physics 2009-11-10 Ivan G. Avramidi

We use the theory of Gr\"obner-Shirshov bases for ideals to construct linear bases for graded local Weyl modules for the (hyper) current and the truncated current algebras associated to the finite-dimensional complex simple Lie algebra…

Representation Theory · Mathematics 2019-05-14 Angelo Bianchi , Evan Wilson

The standard model effective field theory (SMEFT) provides systematic parameterization of all possible new physics above the electroweak scale. According to the amplitude-operator correspondence, an effective operator can be decomposed into…

High Energy Physics - Phenomenology · Physics 2022-12-21 Hao-Lin Li , Yu-Han Ni , Ming-Lei Xiao , Jiang-Hao Yu

We re-consider the graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. On flat space background it can be represented as a sum of two tensor differential operators acting on scalar…

General Relativity and Quantum Cosmology · Physics 2025-05-12 S. P. Miao , N. C. Tsamis , R. P. Woodard , B. Yesilyurt

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting from the usual effective field theory…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Chunlong Li , Yong Cai , Yi-Fu Cai , Emmanuel N. Saridakis

We explore generalized symmetry in the context of nonlinear dynamical gravity. Our basic strategy is to transcribe known results from Yang-Mills theory directly to gravity via the tetrad formalism, which recasts general relativity as a…

High Energy Physics - Theory · Physics 2024-03-05 Clifford Cheung , Maria Derda , Joon-Hwi Kim , Vinicius Nevoa , Ira Rothstein , Nabha Shah

The recent direct observation of gravitational waves (GW) from merging black holes opens up the possibility of exploring the theory of gravity in the strong regime at an unprecedented level. It is therefore interesting to explore which…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Solomon Endlich , Victor Gorbenko , Junwu Huang , Leonardo Senatore

We use the superconformal method to construct a new formulation for pure off-shell D=5, N=2 Poincar\'e supergravity and present its internal gauging. The main difference between the traditional formulation and our new formulation is the…

High Energy Physics - Theory · Physics 2013-01-30 Frederik Coomans , Mehmet Ozkan

New Massive Gravity provides a non-linear extension of the Fierz-Pauli mass for gravitons in 2+1 dimensions. Here we construct a Weyl invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy…

High Energy Physics - Theory · Physics 2011-08-09 Suat Dengiz , Bayram Tekin

We look at the various aspects of treating general relativity as a quantum theory. It is briefly studied how to consistently quantize general relativity as an effective field theory. A key achievement here is the long-range low-energy…

High Energy Physics - Theory · Physics 2007-05-23 Niels Emil Jannik Bjerrum-Bohr

Gravitons naturally acquire topological masses in the 3d topologically massive gravity (TMG) theory that includes the gravitational Chern-Simons term. We present a Weyl-transformed TMG (WTMG) formulation by introducing an unphysical dilaton…

High Energy Physics - Theory · Physics 2026-04-13 Hong-Xu Liu , Zi-Xuan Yi , Hong-Jian He

We provide a complete solution of closed strings propagating in Nappi-Witten space. Based on the analysis of geodesics we construct the coherent wavefunctions which approximate as closely as possible the classical trajectories. We then…

High Energy Physics - Theory · Physics 2009-11-10 Yeuk-Kwan E. Cheung , Laurent Freidel , Konstantin Savvidy

We classify the physical operators of the most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute the complete one-loop anomalous dimension employing both on-shell…

High Energy Physics - Phenomenology · Physics 2026-05-29 Jason Aebischer , Luigi C. Bresciani , Nudzeim Selimovic

It is well known in quantum field theory that the off-shell effective action depends on the gauge choice and field parametrization used in calculating it. Nevertheless, the typical scheme in which the scenario of asymptotically safe gravity…

High Energy Physics - Theory · Physics 2018-10-15 Dario Benedetti

We present an effective four-dimensional formulation of the laws of gravity that respects the main features of a higher (five)-dimensional scenario of Randall-Sundrum type. The geometrical structure of the theory is that of a…

General Relativity and Quantum Cosmology · Physics 2012-10-30 I. Quiros , R. Bonal , R. Cardenas

The one loop effects of two dimension-six operators on gauge boson self energies are computed within an effective field theory framework. These self energies are translated into effects on precision electroweak observables, and bounds are…

High Energy Physics - Phenomenology · Physics 2015-06-15 Harrison Mebane , Nicolas Greiner , Cen Zhang , Scott Willenbrock

The gauge dependence of the effective action of composite fields for general gauge theories in the framework of the quantization method by Batalin, Lavrov and Tyutin is studied. The corresponding Ward identities are obtained. The variation…

High Energy Physics - Theory · Physics 2009-09-17 P. M. Lavrov , S. D. Odintsov , A. A. Reshetnyak

The relationship between on-shell tree level scattering amplitudes of open and closed strings, discovered some time ago by Kawai, Lewellen and Tye, is used at field theory level (at $O(\alpha'^3)$) to establish a link between the general…

High Energy Physics - Theory · Physics 2009-11-10 N. E. J. Bjerrum-Bohr