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A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Peldan

In the event symmetric approach to quantum gravity it is assumed that the fundamental laws of physics must be invariant under exchange of any two space-time events. The fact that this symmetry if obviously not observed is attributed to the…

High Energy Physics - Theory · Physics 2007-05-23 P. E. Gibbs

We discuss Lie-Tresse theorem for the pseudogroup of diffeomorphisms acting on the space of (pseudo-)Riemannian metrics, and relate this to existence of Killing vector fields. Then we discuss the impact of symmetry in the general case.

Differential Geometry · Mathematics 2015-02-11 Boris Kruglikov

In this manuscript, a conformally invariant theory of gravitation in the context of metric measure space is studied. The proposed action is invariant under both diffeomorphism and conformal transformations. Using the variational method, a…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Nafiseh Rahmanpour , Hossein Shojaie

In this talk the description of gauge theories associated with internal symmetries is extended to the case in which the symmetry group is the space-time translation group (recovering Einstein's theory) using the standard jet-bundle…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. Aldaya , E. Sanchez-Sastre

In this paper we summarize the minimal supersymmetric standard model as well as the renormalization group equations of its parameters. We proceed to examine the feasability of the model when the breaking of supersymmetry is parametrized by…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. J. Castano , E. J. Piard , P. Ramond

Physics beyond the Fermi scale could show up through deviations of the gauge couplings predicted by the electroweak Yang-Mills sector. This possibility is explored in the context of the International Linear Collider (ILC) through the…

High Energy Physics - Phenomenology · Physics 2015-06-16 J. I. Aranda , F. Ramirez-Zavaleta , D. A. Rosete , F. J. Tlachino , J. J. Toscano , E. S. Tututi

We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism…

High Energy Physics - Theory · Physics 2015-05-18 Harald Grosse , Fedele Lizzi , Harold Steinacker

The existence of the neutrino mass and flavor mixing have been experimentally verified. These phenomena strongly motivate to extend the Standard Model (SM). Amongst many possibilities, a simple and interesting extension of the SM can be…

High Energy Physics - Phenomenology · Physics 2020-12-01 Arindam Das , Kazuki Enomoto , Shinya Kanemura

Extended geometry provides a unified framework for double geometry, exceptional geometry, etc., i.e., for the geometrisations of the string theory and M-theory dualities. In this talk, we will explain the structure of gauge transformations…

High Energy Physics - Theory · Physics 2019-05-22 Martin Cederwall , Jakob Palmkvist

The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of gravity with other gauge interactions.

General Relativity and Quantum Cosmology · Physics 2018-03-07 S. E. Samokhvalov , V. S. Vanyashin

Existing experiments and data sets can be leveraged to obtain additional sensitivities to Lorentz violation, beyond those originally sought, through a more precise consideration of the boost of the experiment through the background. In…

High Energy Physics - Phenomenology · Physics 2026-01-12 Facundo Martin Lopez , Zhiyu Zhang , Bianca Rose Lott , Jay D. Tasson

We conjecture that $W$ gravity can be interpreted as the gauge theory of $\phi$ diffeomorphisms in the space of dimensionally-reduced $D=2+2$ $SU^*(\infty)$ Yang-Mills instantons. These $\phi$ diffeomorphisms preserve a volume-three form…

High Energy Physics - Theory · Physics 2009-10-22 Yang-Mills Instantons Carlos Castro

Consider the minimal renormalizable extension of the Standard Model with purely dimensionless couplings, successful electroweak symmetry breaking (via the Coleman-Weinberg mechanism) and a see-saw mechanism for neutrino mass: we will call…

High Energy Physics - Phenomenology · Physics 2013-03-13 Latham Boyle , Shane Farnsworth , Joseph Fitzgerald , Maitagorri Schade

The strong equivalence principle (SEP) distinguishes General Relativity from other viable theories of gravity. The SEP demands that the internal dynamics of a self-gravitating system under free-fall in an external gravitational field should…

Astrophysics of Galaxies · Physics 2021-03-05 Kyu-Hyun Chae , Federico Lelli , Harry Desmond , Stacy S. McGaugh , Pengfei Li , James M. Schombert

We consider the extension of the general-linear and special-linear algebras by employing the Maxwell symmetry in $D$ space-time dimensions. We show how various Maxwell extensions of the ordinary space-time algebras can be obtained by a…

High Energy Physics - Theory · Physics 2023-03-03 Salih Kibaroğlu , Oktay Cebecioğlu , Ahmet Saban

The current paper is dedicated to developing a (3+1) decomposition for the minimal gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and we focus on the background fields known in the literature as $u$…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Carlos M. Reyes , Marco Schreck

Looking for ideas for a fundamental physics that could almost work by itself, not making but mild assumptions, we are inspired by the earlier work by Astri Kleppe and myself. We showed that assuming diffeomorphism symmetry in addition to…

General Physics · Physics 2024-05-30 Holger Bech Nielsen

We complement investigations of the gauge structure of general relativity with an analysis of the physical consequences of the spontaneous breaking of diffeomorphism invariance which manifests itself in e.g. the socalled Einstein hole…

General Relativity and Quantum Cosmology · Physics 2012-03-09 Manfred Requardt

A global O$(2,2)$ symmetry is found in the Brans-Dicke theory of gravity when the dilaton is coupled to axion and moduli fields. The symmetry is broken if a cosmological constant is introduced. Within the class of spatially homogeneous…

General Relativity and Quantum Cosmology · Physics 2016-08-31 James E. Lidsey
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