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We construct the non-linear realisation of the semi-direct product of the very extended algebra A1+++ and its vector representation. This theory has an infinite number of fields that depend on a spacetime with an infinite number of…

High Energy Physics - Theory · Physics 2020-06-10 Keith Glennon , Peter West

In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field…

General Relativity and Quantum Cosmology · Physics 2021-11-19 S. Nojiri , S. D. Odintsov , V. K. Oikonomou , Arkady A. Popov

In (2+1) space-time dimensions the Einstein theory of gravity has no local degrees of freedom. In fact, in the presence of a negative cosmological term, it is described by a (1+1) dimensional theory living on its boundary: Liouville theory.…

General Relativity and Quantum Cosmology · Physics 2013-03-15 Glenn Barnich , Andrés Gomberoff , Hernán A. González

In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spin two massive particles in $D=2+1$. We make use of a master action which…

High Energy Physics - Theory · Physics 2009-03-12 D. Dalmazi , Elias L. Mendonca

The 2-parameter family of massive variants of Einstein's gravity (on a Minkowski background) found by Ogievetsky and Polubarinov by excluding lower spins can also be derived using universal coupling. A Dirac-Bergmann constrained dynamics…

High Energy Physics - Theory · Physics 2015-06-26 J. Brian Pitts

We consider the D2-brane probe action in the gravity background dual to N coincident Dp-branes by treating the separation between the D2- and Dp-branes as a nondynamical parameter for $p=2,4,6$. The gauge coupling, the core size of a…

High Energy Physics - Theory · Physics 2010-04-05 Sung-Sik Lee , Xiao-Gang Wen

We revisit the structure of higher-derivative spin-2 theories from the perspective of the Generalized Uncertainty Principle (GUP). We show that a minimal GUP deformation of the Fierz-Pauli (FP) action induces a higher-derivative kinetic…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Hassan Alshal , Elias C. Vagenas , Thomas Van Kortryk

The addition of mass terms in general breaks gauge symmetries which can be recovered usually via Stueckelberg fields. The massive BF model describes massive spin-1 particles while preserving the $U(1)$ symmetry without Stueckelberg fields.…

High Energy Physics - Theory · Physics 2023-11-08 A. L. R. dos Santos , D. Dalmazi

Bimetric theory describes gravitational interactions in the presence of an extra spin-2 field. Previous work has suggested that its cosmological solutions are generically plagued by instabilities. We show that by taking the Planck mass for…

General Relativity and Quantum Cosmology · Physics 2015-07-07 Yashar Akrami , S. F. Hassan , Frank Könnig , Angnis Schmidt-May , Adam R. Solomon

In this work we propose a new 2+1 theory of gravity. We start with a modification of Chern-Simons 2+1 gravity. By introducing a vector field $\Phi$ to the usual composition of the vierbein and connection, we derive a new action that…

High Energy Physics - Theory · Physics 2025-03-10 J. Chagoya , M. Sabido , A. Silva-García

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

High Energy Physics - Theory · Physics 2011-04-15 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

We present our analysis of the theory constructed in 1965 by Ogievetsky and Polubarinov (OP) -- the first ever theory of interacting massive gravitons. Its mass term is adjusted in such a way that the non-linear field equations imply as a…

High Energy Physics - Theory · Physics 2018-10-31 Shinji Mukohyama , Mikhail S. Volkov

We explore the possibility of parity-violating, nonminimally coupled 2-form field theories that retain the same dynamical degrees of freedom as a massive 2-form and thus are ghost-free. Starting from the most general kinetic terms and…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yuki Horii , Tomoaki Murata , Tsutomu Kobayashi

We give a detailed account of the free field spectrum and the Newtonian limit of the linearized "massive" (Pauli-Fierz), "topologically massive" (Einstein-Hilbert-Chern-Simons) gravity in 2+1 dimensions about a Minkowski spacetime. For a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ozgur Sarioglu , Bayram Tekin

Motivated by the ideas of Jacob Bekenstein concerning gravity-assisted symmetry breaking, we consider a non-canonical model of f(R)=R+R^2 extended gravity coupled to neutral scalar "inflaton", as well as to SU(2)xU(1) multiplet of fields…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

General relativity and quantum field theory are the cornerstones of our understanding of physical processes, from subatomic to cosmic scales. While both theories work remarkably well in their tested domains, they show minimal overlap.…

High Energy Physics - Theory · Physics 2025-02-06 Susobhan Mandal , S. Shankaranarayanan

We investigate dynamical symmetry enlargement in the half-filled SU(4) Hubbard chain using non-perturbative renormalization group and Quantum Monte Carlo techniques. A spectral gap is shown to open for arbitrary Coulombic repulsion $U$. At…

Strongly Correlated Electrons · Physics 2009-11-10 R. Assaraf , P. Azaria , E. Boulat , M. Caffarel , P. Lecheminant

We show that the effective field equations for a recently formulated polynomial affine model of gravity, in the sector of a torsion-free connection, accept general Einstein manifolds---with or without cosmological constant---as solutions.…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Oscar Castillo-Felisola , Aureliano Skirzewski

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a `kinetic' Einstein-Hilbert term, but via topological…

High Energy Physics - Theory · Physics 2012-05-01 Nicolas Boulanger , Olaf Hohm

The Hamiltonian analysis for $f(T)$ gravity implies the existence of at least one scalar-type degree of freedom (DoF). However, this scalar DoF of $f(T)$ gravity does not manifest in linear perturbations around a cosmological background,…

General Relativity and Quantum Cosmology · Physics 2024-02-01 Yu-Min Hu , Yang Yu , Yi-Fu Cai , Xian Gao