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We investigate the relationship between a one-parameter family of (anti-)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through In\"o\"nu-Wigner contraction of the (A)dS algebra. By setting the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Goffredo Chirco , Alfonso Lamberti , Lucio Vacchiano , Patrizia Vitale

We extend the effective field theory for soft and collinear gravitons to interactions with fermionic matter fields. The full theory features a local Lorentz symmetry in addition to the usual diffeomorphisms, which requires incorporating the…

High Energy Physics - Phenomenology · Physics 2023-04-05 Martin Beneke , Patrick Hager , Dominik Schwienbacher

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

In this paper, I show that a Yang-Mills force with a U(1)$\timesSU(2)\times$SU(2) group symmetry predicts solar system observations of gravitational behavior as well as binary pulsar precession provided that mass is redefined as intrinsic…

Mathematical Physics · Physics 2012-04-13 T. D. Andersen

We extend a previously developed formulation of the S-matrix, based on a path integral with asymptotic boundary conditions, to include gravity. The path integral defines a Carrollian boundary partition function whose invariance under…

High Energy Physics - Theory · Physics 2026-05-12 Jack Isen , Per Kraus , Ruben Monten , Richard M. Myers

Using topological Yang-Mills theory as example, we discuss the definition and determination of observables in topological field theories (of Witten-type) within the superspace formulation proposed by Horne. This approach to the equivariant…

High Energy Physics - Theory · Physics 2009-11-10 Jose Luis Boldo , Clisthenis P. Constantinidis , Francois Gieres , Matthieu Lefrancois , Olivier Piguet

We describe the connection between spontaneously-broken higher symmetries and soft theorems for scattering amplitudes of their associated Nambu-Goldstone bosons. Our main result is a new sub-leading double soft pion theorem in theories with…

High Energy Physics - Theory · Physics 2026-02-24 Jonah Berean-Dutcher , Maria Derda , Julio Parra-Martinez

The formal algebraic structures that govern higher-spin theories within the unfolded approach turn out to be related to an extension of the Kontsevich Formality, namely, the Shoikhet-Tsygan Formality. Effectively, this allows one to…

High Energy Physics - Theory · Physics 2017-08-23 A. A. Sharapov , E. D. Skvortsov

Universal factors associated with the emission of a soft boson in gauge theories and gravity, formulated in the light-cone gauge, are presented. The inverse-soft method, for constructing higher-point amplitudes from lower-point ones, using…

High Energy Physics - Theory · Physics 2024-02-06 Sudarshan Ananth , Chetan Pandey , Saurabh Pant

The $w_{1+\infty}$ symmetry algebra appears in the Einstein--Yang--Mills theory, proposed recently by Strominger. In this paper, we derive the supersymmetric $w_{1+\infty}$ symmetry by using the known results on the operator product…

High Energy Physics - Theory · Physics 2022-08-11 Changhyun Ahn

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

High Energy Physics - Theory · Physics 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

The Solomon-Tits theorem says that the poset of proper non-trivial subspaces of a finite-dimensional vector space has realisation equivalent to a wedge of spheres. In this paper we prove a variant of this result for collections of geodesic…

Algebraic Topology · Mathematics 2026-05-04 Alexander Kupers , Ezekiel Lemann , Cary Malkiewich , Jeremy Miller , Robin J. Sroka

Fefferman-Graham ambient construction can be formulated as $\mathfrak{sp}(2)$-algebra relations on three Hamiltonian constraint functions on ambient space. This formulation admits a simple extension that leads to higher-spin fields, both…

High Energy Physics - Theory · Physics 2018-01-22 Xavier Bekaert , Maxim Grigoriev , Evgeny D. Skvortsov

We explore conformal primary wavefunctions for all half integer spins up to the graviton. Half steps are related by supersymmetry, integer steps by the classical double copy. The main results are as follows: we 1) introduce a convenient…

High Energy Physics - Theory · Physics 2021-10-27 Sabrina Pasterski , Andrea Puhm

The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler…

High Energy Physics - Theory · Physics 2009-11-07 H. Garcia-Compean , O. Obregon , C. Ramirez , M. Sabido

Topological gravity is the reduction of general relativity to flat space-times. A lattice model describing topological gravity is developed starting from a Hamiltonian lattice version of $B\w F$ theory. The extra symmetries not present in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose A. Zapata

In this paper, we derive a soft photon theorem and a soft gluon theorem in the de Sitter spacetime from the Ward identity of the near cosmological horizon large gauge transformation. Taking the flat limit of the de Sitter spacetime, the…

High Energy Physics - Theory · Physics 2024-01-11 Pujian Mao , Kai-Yu Zhang

A universal class of light-ray operators formed from null integrals of the stress tensor is constructed in generic interacting Lorentzian conformal field theories in four spacetime dimensions. This class of light-ray operators generates the…

High Energy Physics - Theory · Physics 2025-12-23 Elizabeth Himwich , Monica Pate

We compute leading soft theorem for multiple gravitinos (and graviton) in an arbitrary theory of supergravity with an arbitrary number of finite energy particles with arbitrary mass and arbitrary spin by extending Sen's approach…

High Energy Physics - Theory · Physics 2019-06-26 Diksha Jain , Arnab Rudra

Aiming at non-experts, we explain the key mechanisms of higher-spin extensions of ordinary gravity. We first overview various no-go theorems for low-energy scattering of massless particles in flat spacetime. In doing so we dress a…

High Energy Physics - Theory · Physics 2015-05-19 Xavier Bekaert , Nicolas Boulanger , Per Sundell
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