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We comment on some peculiarities of matter with and without Weyl invariance coupled to classical $2d$ Einstein-Hilbert gravity for several models, in particular, related to the counting of degrees of freedom and on the dynamics. We find…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Corinne de Lacroix , Harold Erbin

A massless Weyl-invariant dynamics of a scalar, a Dirac spinor, and electromagnetic fields is formulated in a Weyl space, $W_4$, allowing for conformal rescalings of the metric and of all fields with nontrivial Weyl weight together with the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 W. Drechsler , H. Tann

Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work out the two-point and three-point $h_{\mu\nu}$ contributions…

High Energy Physics - Theory · Physics 2023-02-15 Jesus Anero , Carmelo P. Martin

We show that self-dual gravity in Euclidean four-dimensional Anti-de Sitter space (AdS$_4$) can be described by a minimally coupled scalar field with a cubic interaction written in terms of a deformed Poisson bracket, providing a remarkably…

High Energy Physics - Theory · Physics 2023-08-03 Arthur Lipstein , Silvia Nagy

Starting from a manifestly Lorentz- and diffeomorphism-invariant classical action we perform a perturbative derivation of the gravitational anomalies for chiral bosons in 4n+2 dimensions. The manifest classical invariance is achieved using…

High Energy Physics - Theory · Physics 2009-10-31 Kurt Lechner

In d=4 de Sitter space, novel conformally invariant photon-like theories consistently couple to charged matter. We show that these higher spin, maximal depth, partially massless systems enjoy a Maxwellian, "electric-magnetic" duality.

High Energy Physics - Theory · Physics 2013-06-13 S. Deser , A. Waldron

In this paper we study the dual charges of $\mathcal{N}=1$ supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution. This is the Nieh-Yan term and the magnetic…

High Energy Physics - Theory · Physics 2022-10-19 Bilyana L. Tomova

We study a bosonic four--dimensional effective action corresponding to the heterotic string compactified on a 6--torus (dilaton--axion gravity with one vector field) on a curved space--time manifold possessing a time--like Killing vector…

High Energy Physics - Theory · Physics 2009-10-28 D. V. Gal'tsov , O. V. Kechkin

Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily…

High Energy Physics - Theory · Physics 2009-10-28 V. G. J. Rodgers

A self-dual, localized solution to the classical SU(2) Yang-Mills equation in Euclidean spacetime, which formally possesses infinite action, is investigated in view of its U(1) charge content after Abelian projection. This is suggested by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hofmann

Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat spacetimes and thus leads to a natural definition of conserved…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Robert B. Mann , Donald Marolf , Amitabh Virmani

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We fully compute the N=1 supersymmetrization of the fourth power of the Weyl tensor in d=4 x-space with the auxiliary fields. In a previous paper, we showed that their elimination requires an infinite number of terms; we explicitely compute…

High Energy Physics - Theory · Physics 2009-11-07 Filipe Moura

We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface $\Sigma_\mathfrak{g}$ of genus $\mathfrak{g}$, at the level of the bosonic action. The result is an $\mathcal{N}=2$ gauged supergravity…

High Energy Physics - Theory · Physics 2021-11-05 Seyed Morteza Hosseini , Kiril Hristov

We construct charges for four-dimensional spacetimes with a non-vanishing cosmological constant, including charges that are not conserved because of a leaky boundary and charges associated with corner terms in the symplectic current. The…

High Energy Physics - Theory · Physics 2025-12-04 Robert McNees , Céline Zwikel

We present a refinement of a recently found gauge-gravity relation between one-loop effective actions: on the gauge side, for a massive charged scalar in 2d dimensions in a constant maximally symmetric electromagnetic field; on the gravity…

High Energy Physics - Theory · Physics 2014-11-20 R Aros , D E Diaz , A Montecinos

We investigate the four-derivative free Weyl action for two-column mixed-symmetry field that makes use of maximal gauge symmetries. In flat space, the action can be uniquely determined from gauge and Weyl (trace shift) symmetry…

High Energy Physics - Theory · Physics 2016-10-25 Euihun Joung , Karapet Mkrtchyan

Including torsion in the geometric framework of the Weyl-Dirac theory we build up an action integral, and obtain from it a gauge covariant (in the Weyl sense) general relativistic massive electrodynamics. Photons having an arbitrary mass,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mark Israelit

There are two covariant descriptions of massless spin-2 particles in $D=3+1$ via a symmetric rank-2 tensor: the linearized Einstein-Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH…

High Energy Physics - Theory · Physics 2017-10-25 D. Dalmazi , A. L. R. dos Santos , Subir Ghosh , E. L. Mendonca

We consider the role of N=4 conformal supergravity in the relation between N=4 SYM theory and D=5 gauged supergravity expanded near the Anti de Sitter background. We discuss the structure of the SYM effective action in conformal…

High Energy Physics - Theory · Physics 2009-09-17 Hong Liu , A. A. Tseytlin