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The evolution operator for states of gauge theories in the graph representation (closely related to the loop representation of Gambini and Trias, and Rovelli and Smolin) is formulated as a weighted sum over worldsheets interpolating between…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Reisenberger

A class of theories of gravitation that naturally incorporates preferred frames of reference is presented. The underlying space-time geometry consists of a partial parallelization of space-time and has properties of Riemann-Cartan as well…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Kohler

A broad class of contour gauges is shown to be determined by admissible contractions of the geometrical region considered and a suitable equivalence class of curves is defined. In the special case of magnetostatics, the relevant…

High Energy Physics - Theory · Physics 2009-10-31 L. Lukaszuk , E. Leader , A. Johansen

We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

We propose a model of quantum gravity in arbitrary dimensions defined in terms of the BV quantization of a supersymmetric, infinite dimensional matrix model. This gives an (AKSZ-type) Chern-Simons theory with gauge algebra the space of…

High Energy Physics - Theory · Physics 2014-10-27 R. Bonezzi , O. Corradini , A. Waldron

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

Out of several possible extensions of general relativity, the scalar-tensor theory is the most popular for several reasons. Since the quantum description of gravity is yet to be formulated properly, the understanding of a gravitational…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We propose a formulation of gravity theory in the form of a field theory in a flat space-time with a number of dimensions greater than four. Configurations of the field under consideration describe the splitting of this space-time into a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 S. A. Paston

We study on-shell diagrams for gravity theories with any number of supersymmetries and find a compact Grassmannian formula in terms of edge variables of the graphs. Unlike in gauge theory where the analogous form involves only…

High Energy Physics - Theory · Physics 2016-12-21 Enrico Herrmann , Jaroslav Trnka

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Daniel Cangemi

We survay our recent results on fractional gravity theory. It is also provided the Main Theorem on encoding of geometric data (metrics and connections in gravity and geometric mechanics) into solitonic hierarchies. Our approach is based on…

Mathematical Physics · Physics 2012-03-13 Dumitru Baleanu , Sergiu I. Vacaru

Recent discussions of higher rank symmetric (fractonic) gauge theories have revealed the important role of Gauss constraints. This has prompted the present study where a detailed hamiltonian analysis of such theories is presented. Besides a…

High Energy Physics - Theory · Physics 2022-01-26 Rabin Banerjee

We present a short overview of the structure and couplings of supergravity theories at the component level. We do so with as little technical machinery as possible, working directly with the physical on-shell fields and using explicit…

High Energy Physics - Theory · Physics 2023-02-16 Gianguido Dall'Agata , Marco Zagermann

We describe the geomety of a set of scalar fields coupled to gravity. We consider the formalism of a differential Z_2-graded algebra of $2\times 2$ matrices whose elements are differential forms on space-time. The connection and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Mohammedi

Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Antonio De Felice , Shinji Tsujikawa

The timing of binary pulsars allows us to place some of the tightest constraints on modified theories of gravity. Perhaps some of the most interesting and well-motivated extensions to General Relativity are scalar-tensor theories, in which…

General Relativity and Quantum Cosmology · Physics 2019-09-04 David Anderson , Nicolás Yunes

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between…

History and Philosophy of Physics · Physics 2025-04-09 James Owen Weatherall

We propose a nonlocal scalar-tensor model of gravity with pseudodifferential operators inspired by the effective action of p-adic string and string field theory on flat spacetime. An infinite number of derivatives act both on the metric and…

High Energy Physics - Theory · Physics 2010-12-28 Gianluca Calcagni , Giuseppe Nardelli

The scalar-tensor theories of gravity in spacetime dimensions $D+1>2$ are studied. By doing Hamiltonian analysis, we obtain the geometrical dynamics of the theories from their Lagrangian. The Hamiltonian formalism indicates that the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yu Han , Yongge Ma , Xiangdong Zhang

The exploration of strongly-interacting finite-density states of matter has been a major recent application of gauge-gravity duality. When the theories involved have a known Lagrangian description, they are typically deformations of large…

High Energy Physics - Theory · Physics 2014-12-18 Aleksey Cherman , Sašo Grozdanov , Edward Hardy
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