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We consider the higher order clockwork theory of gravitational interactions, whereby a number of gravitons are coupled together with TeV strength, but nevertheless generate a Planck scale coupling to matter without the need for a dilaton.…

High Energy Physics - Theory · Physics 2021-06-09 Anastasios Avgoustidis , Florian Niedermann , Antonio Padilla , Paul M. Saffin

We consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms (TDiff). Generic…

High Energy Physics - Theory · Physics 2008-11-26 E. Alvarez , D. Blas , J. Garriga , E. Verdaguer

In this paper we show how the well-know local symmetries of Lagrangeans systems, and in particular the diffeomorphism invariance, emerge in the Hamiltonian formulation. We show that only the constraints which are linear in the momenta…

High Energy Physics - Theory · Physics 2010-11-01 V. Mukhanov , A. Wipf

We study the action of diffeomorphisms on spin foam models. We prove that in 3 dimensions, there is a residual action of the diffeomorphisms that explains the naive divergences of state sum models. We present the gauge fixing of this…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Laurent Freidel , David Louapre

It is well known that one can parameterize 2-D Riemannian structures by conformal transformations and diffeomorphisms of fiducial constant curvature geometries; and that this construction has a natural setting in general relativity theory…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Gegenberg , G. Kunstatter

We discuss two scenarios of emergent gravity. In one of them the quantum vacuum is considered as superplastic crystal, and the effective gravity describes the dynamical elastic deformations of this crystal. In the other one the…

General Relativity and Quantum Cosmology · Physics 2021-06-16 G. E. Volovik

A first attempt at adding matter degrees of freedom to the two-dimensional ``vacuum'' gravity model presented in gr-qc/9907071 is analyzed in this paper. Just as in the previous pure gravity case, quantum diffeomorphism operators…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Aldaya , J. L. Jaramillo

We deal with germs of diffeomorphisms that are reversible under an involution. We establish that this condition implies that, in general, both the family of reversing symmetries and the group of symmetries are not finite, in contrast with…

Dynamical Systems · Mathematics 2020-07-14 Patrícia H. Baptistelli , Isabel S. Labouriau , Miriam Manoel

The fundamental symmetries in gravity and gauge theories, formulated using differential forms, are gauge transformations and diffeomorphisms. These symmetries act in distinct ways on different dynamical fields. Yet, the commutator of these…

General Relativity and Quantum Cosmology · Physics 2025-07-01 O. Ramírez , Y. Bonder

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

We examine the dynamical behavior of matter coupled to gravity in the context of a linear Klein-Gordon equation coupled to a Friedman-Robertson-Walker metric. The resulting ordinary differential equations can be decoupled, the effect of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Christodoulakis , C. Helias , P. G. Kevrekidis , I. G. Kevrekidis , G. O. Papadopoulos

Spontaneously broken gauge theories are described as a perturbation of selfdual gauge theory. Instead of the incorporation of scalar degrees of freedom, the massive component of the gauge field is obtained from an anti-selfdual field…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

We construct the second variation Lagrangian for Randall-Sundrum model with two branes, study its gauge invariance, find the corresponding equations of motion and decouple them. We also derive an effective Lagrangian for this model in the…

High Energy Physics - Theory · Physics 2007-05-23 Edward E. Boos , Yuri A. Kubyshin , Mikhail N. Smolyakov , Igor P. Volobuev

Characteristic features of dynamical symmetry breaking are investigated in Randall-Sundrum (RS) background. To study the influence of bulk fermion or bulk gauge field I consider a five-dimensional four-fermion interaction model and a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Inagaki

We examine the phenomenological implications at colliders for the existence of higher-derivative gravity terms as extensions to the Randall-Sundrum model. Such terms are expected to arise on rather general grounds, e.g., from string theory.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Thomas G. Rizzo

Variational and divergence symmetries are studied in this paper for the whole class of linear and nonlinear equations of maximal symmetry, and the associated first integrals are given in explicit form. All the main results obtained are…

Differential Geometry · Mathematics 2022-12-29 J. C. Ndogmo

Symmetries play an important role in fundamental physics. In gravity and field theories, particular attention has been paid to Weyl (or conformal) symmetry. However, once the theory contains a scalar field, conformal transformations of the…

General Relativity and Quantum Cosmology · Physics 2023-04-24 Guillem Domènech , Alexander Ganz

Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the type encountered in the topological gauge theories. A peculiar feature of the gravitationel theory is the link of this vector…

High Energy Physics - Theory · Physics 2007-05-23 Olivier Piguet

We consider the gauge algebra of closed string field theory with a focus on diffeomorphisms. This algebra contains off-shell information in two ways. The first way is geometric, through the choice of three-punctured sphere defining the…

High Energy Physics - Theory · Physics 2025-06-16 Raji Ashenafi Mamade , Barton Zwiebach

We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums…

High Energy Physics - Phenomenology · Physics 2015-06-24 C. Cruz-Santiago , P. Kotko , A. Stasto