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We explore a comprehensive analysis of the formalism governing the gravitational field equations in degenerate higher-order scalar-tensor theories. The propagation of these theories in the vacuum has a maximum of three degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Z. Yousaf , N. Z. Bhatti , H. Asad , Yuki Hashimoto , Kazuharu Bamba

We consider the non-linear massive gravity as a theory of a number of St\"uckelberg scalar fields minimally coupled to the Einstein-Hilbert gravity and argue that the counting of degrees of freedom can be done for scalar theory and gravity…

High Energy Physics - Theory · Physics 2013-10-02 Lasma Alberte , Andrei Khmelnitsky

The spectrum of Prokushkin--Vasiliev Theory is puzzling in light of the Gaberdiel--Gopakumar conjecture because it generically contains an additional sector besides higher-spin gauge and scalar fields. We find the unique truncation of the…

High Energy Physics - Theory · Physics 2016-01-20 Pan Kessel , Gustavo Lucena Gomez , E. D. Skvortsov , Massimo Taronna

This paper discusses some aspects of the Vasiliev system, beginning with a review of a recent proposal for an alternative perturbative scheme: solutions are built by means of a convenient choice of homotopy-contraction operator and…

High Energy Physics - Theory · Physics 2020-05-01 Carlo Iazeolla

We reformulate chiral higher-spin Yang-Mills and gravity on $\mathbb{R}^4$ as 'CR-holomorphic' theories of Chern-Simons type; in the most general case, these are Moyal deformed to become non-commutative. They are defined on the space of…

High Energy Physics - Theory · Physics 2025-05-15 Lionel Mason , Atul Sharma

This thesis deals with the phase space realization of asymptotic higher spin symmetries, in 4d asymptotically flat spacetimes. In the gravitational case for instance, these symmetries generalize the BMS algebra to include an infinite tower…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto

In this work we apply the Fradkin-Vasiliev formalism based on the frame-like gauge invariant description of the massive and massless spin 2 to the construction of the cubic interactions vertices for massive spin 2 self-interaction as well…

High Energy Physics - Theory · Physics 2021-11-04 M. V. Khabarov , Yu. M. Zinoviev

We consider higher-spin gravity in (A)dS_4, defined as the holographic dual of a free O(N) or Sp(N) vector model. At the quartic level, this theory has been judged non-local at distances greater than the (A)dS radius, due to a mismatch of…

High Energy Physics - Theory · Physics 2023-08-09 Yasha Neiman

We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Alexei A. Deriglazov , Walberto Guzmán Ramírez

Higgs mechanism to massive higher-spin gauge fields is an outstanding open problem. We investigate this issue in the context of Kaluza-Klein compactification. Starting from a free massless higher-spin field in $(d+2)$-dimensional anti-de…

High Energy Physics - Theory · Physics 2016-11-23 Seungho Gwak , Jaewon Kim , Soo-Jong Rey

Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Robert Bluhm

A Newtonian-like theory inspired by the Brans-Dicke gravitational Lagrangian has been recently proposed in Ref. arXiv:2009.04434(v4). We propose here a new variant of this theory such that the usual Newtonian second law is preserved. The…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Felipe S. Escórcio , Júlio C. Fabris , Júnior D. Toniato , Hermano Velten

The generic form of spacetime dynamics as a classical gauge field theory has recently been derived, based on only the action principle and on the Principle of General Relativity. It was thus shown that Einstein's General Relativity is the…

General Relativity and Quantum Cosmology · Physics 2019-05-28 J. Struckmeier , J. Muench , P. Liebrich , M. Hanauske , J. Kirsch , D. Vasak , L. Satarov , H. Stoecker

We present and discuss near horizon boundary conditions for flat space higher-spin gravity in three dimensions. As in related work our boundary conditions ensure regularity of the solutions independently of the charges. The asymptotic…

High Energy Physics - Theory · Physics 2019-01-29 Martin Ammon , Daniel Grumiller , Stefan Prohazka , Max Riegler , Raphaela Wutte

SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing…

High Energy Physics - Theory · Physics 2025-09-25 Xavier Bekaert , Alexey Sharapov , Evgeny Skvortsov

In the general picture of high order theories of gravity, recently, the R^-1 theory has been analyzed in two different frameworks. In this letter a third context is added, considering an explicit coupling between the R^-1 function of the…

Astrophysics · Physics 2008-11-26 Christian Corda

We consider high-derivative equations obtained setting to zero the divergence of the higher-spin curvatures in metric-like form, showing their equivalence to the second-order equations emerging from the tensionless limit of open string…

High Energy Physics - Theory · Physics 2012-11-19 Dario Francia

Derivations of consistent equations of motion for the massive spin two field interacting with gravity is reviewed. From the field theoretical point of view the most general classical action describing consistent causal propagation in vacuum…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Pershin

We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the…

High Energy Physics - Theory · Physics 2018-07-04 Maxim Grigoriev , Evgeny D. Skvortsov

This paper introduces several ideas of emergent gravity, which come from a system similar to an ensemble of quantum spin-$\tfrac{1}{2}$ particles. To derive a physically relevant theory, the model is constructed by quantizing a scalar field…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Quentin Ansel