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It has been conjectured that there exists an E11-invariant formulation of eleven-dimensional supergravity in which the propagating fields of the theory are realised through an infinite tower of higher duals. In this work, we prove this…

High Energy Physics - Theory · Physics 2026-02-27 Guillaume Bossard , Nicolas Boulanger , Josh O'Connor

We generalize duality invariance for the free Maxwell action in an arbitrary background geometry to include the presence of electric and magnetic charges. In particular, it follows that the actions of equally charged electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , M. Henneaux , C. Teitelboim

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically-generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies…

High Energy Physics - Theory · Physics 2019-08-06 Clifford Cheung , Junyu Liu , Grant N. Remmen

This paper is a critical study of non-standard Maxwellian electrodynamics. It explores two important topics: the inclusion of both magnetic and electric charge to produce what it calls Extended Electrodynamics, and the existence of a…

Classical Physics · Physics 2023-03-15 Oliver Davis Johns

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

The free graviton theory given by linearising Einstein's theory has a dual formulation in terms of a dual graviton field. The dual graviton theory has two gauge invariances giving rise to two conserved charges, while the ADM charges of the…

High Energy Physics - Theory · Physics 2025-08-07 Chris Hull , Ulf Lindström , Maxwell L. Velásquez Cotini Hutt

We argue that the non gauge invariant coupling between torsion and the Maxwell or Yang-Mills fields in Einstein-Cartan theory can not be ignored. Arguments based in the existence of normal frames in neighbourhoods, and an approximation to a…

General Relativity and Quantum Cosmology · Physics 2013-03-11 Miguel Socolovsky

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We prove several universal properties of charge transport in generic CFTs holographic to nonminimal extensions of four-dimensional Einstein-Maxwell theory with exact electromagnetic duality invariance. First, we explicitly verify that the…

High Energy Physics - Theory · Physics 2023-03-24 Ángel J. Murcia , Dmitri Sorokin

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

In this article, we consider a class of four-dimensional Einstein-Maxwell theory which is coupled non-minimally to a scalar field and the Gauss-Bonnet invariant. We mainly use the numerical methods to find the solutions to the theory, with…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Michael Butler , Masoud Ghezelbash

This paper presents the detailed, standard treatment of a simple, gauge invariant action for Weyl and Weyl-like Cartan geometries outlined in a previous paper. In addition to the familiar scalar curvature squared and Maxwell terms, the…

General Relativity and Quantum Cosmology · Physics 2018-07-26 J. E. Rankin

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

General Physics · Physics 2013-05-30 D. H. Sattinger

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections. The first…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Nicolò Burzillà , Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto

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

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez