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In physics geometrical connections are the mean to create models with local symmetries (gauge connections), as well as general diffeomorphisms invariance (affine connections). Here we study the irreducible tensor decomposition of…

General Relativity and Quantum Cosmology · Physics 2025-09-05 Oscar Castillo-Felisola , Bastian Grez , Aureliano Skirzewski , Jefferson Vaca-Santana

We consider a family of cylindrical spacetimes endowed with angular momentum that are solutions to the vacuum Einstein equations outside the symmetry axis. This family was recently obtained by performing a complete gauge fixing adapted to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Nenad Manojlovic , Guillermo A. Mena Marugan

We derive cosmological soft theorems for solids coupled to gravity. To this end, we first derive all cosmological adiabatic modes for solids, which display the interesting novelty of non-vanishing anisotropic stresses on large scales. Then,…

High Energy Physics - Theory · Physics 2019-06-12 Enrico Pajer , Sadra Jazayeri , Drian van der Woude

We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible symmetries which can be realized as composites of…

High Energy Physics - Theory · Physics 2023-08-01 Clay Cordova , Kantaro Ohmori

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Donald Marolf , Robert McNees , Amitabh Virmani

The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity. Bondi,…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy

In this paper, we first prove that any power quasi-symmetry of two metric spaces induces a rough quasi-isometry between their infinite hyperbolic cones. Second, we prove that for a complete metric space $Z$, there exists a point $\omega$ in…

Metric Geometry · Mathematics 2024-04-09 Manzi Huang , Zhihao Xu

For a wide class of noninteracting tight-binding models in one dimension we present an analytical solution for all scattering and edge states on a half-infinite system. Without assuming any symmetry constraints we consider models with…

Mesoscale and Nanoscale Physics · Physics 2020-04-14 Mikhail Pletyukhov , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

The following questions are germane to our understanding of gauge-(in)variant quantities and physical possibility: how are gauge transformations and spacetime diffeomorphisms understood as symmetries, in which ways are they similar, and in…

History and Philosophy of Physics · Physics 2022-10-28 Henrique Gomes

We consider soft electrons in massless QED at tree-level. The emission amplitude at leading order in the soft electron energy factorizes in a way similar to the soft photon case. We recast the soft electron factorization formula as a Ward…

High Energy Physics - Theory · Physics 2023-07-24 Adrián Agriela , Miguel Campiglia

Recently, the leading soft gluon theorem with single soft emission was shown to be the Ward identity of a two dimensional $\cal G$-Kac-Moody symmetry. In this note, we show that the leading soft gluon theorem can be interpreted as the Ward…

High Energy Physics - Theory · Physics 2021-10-12 Pujian Mao , Jun-Bao Wu

In this second paper of the series we continue to spell out a new program for quantum gravity, grounded in the notion of corner symmetry algebra and its representations. Here we focus on tetrad gravity and its corner symplectic potential.…

High Energy Physics - Theory · Physics 2020-12-02 Laurent Freidel , Marc Geiller , Daniele Pranzetti

We present a set of noncommuting frame-translation symmetries in 4D gravity in tetrad-connection variables, which allow expressing diffeomorphisms as composite transformations. Working on the phase space level for finite regions, we pay…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Simon Langenscheidt , Daniele Oriti

We discuss the semiclassical scattering problem for massless matter coupled to Rarita-Schwinger field in four dimensional Minkowski space. We rewrite the soft gravitino theorem as a Ward identity for the S-matrix and discuss the…

High Energy Physics - Theory · Physics 2015-12-10 Vyacheslav Lysov

We reconsider warped black hole solutions in topologically massive gravity and find novel boundary conditions that allow for soft hairy excitations on the horizon. To compute the associated symmetry algebra we develop a general framework to…

High Energy Physics - Theory · Physics 2018-02-06 Daniel Grumiller , Philip Hacker , Wout Merbis

We carry out in full generality and without fixing specific boundary conditions, the symmetry and charge analysis near a generic null surface for two and three dimensional (2d and 3d) gravity theories. In 2d and 3d there are respectively…

High Energy Physics - Theory · Physics 2020-12-02 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel

A framework of connections between asymptotic symmetries, soft theorems, and memory effects has recently shed light on a universal structure associated with infrared physics. Here, we show how this pattern has been used to fill in missing…

High Energy Physics - Theory · Physics 2019-10-24 Sabrina Pasterski

Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically…

High Energy Physics - Theory · Physics 2015-12-22 H. Lü , A. Perkins , C. N. Pope , K. S. Stelle

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. We first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

We derive the soft effective action in $(d+2)$-dimensional abelian gauge theories from the on-shell action obeying Neumann boundary conditions at timelike and null infinity and Dirichlet boundary conditions at spatial infinity. This allows…

High Energy Physics - Theory · Physics 2025-07-01 Temple He , Prahar Mitra , Allic Sivaramakrishnan , Kathryn M. Zurek