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Chiral Higher Spin Gravity is the minimal extension of the graviton with propagating massless higher spin fields. It admits any value of the cosmological constant, including zero. Its existence implies that Chern-Simons vector models have…

High Energy Physics - Theory · Physics 2023-06-21 Alexey Sharapov , Evgeny Skvortsov , Richard Van Dongen

We report on numerical simulations of one dimensional maximally supersymmetric SU(N) Yang-Mills theory, by using the lattice action with two exact supercharges. Based on the gauge/gravity duality, the gauge theory corresponds to N D0-branes…

High Energy Physics - Lattice · Physics 2012-12-21 Daisuke Kadoh , Syo Kamata

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

We highlight and clarify the connection between several ideas and self-dual theories: (a) the operator product expansion (OPE) associativity in celestial conformal field theory (CCFT); (b) the vanishing of tree-level amplitudes; (c) the…

High Energy Physics - Theory · Physics 2025-08-26 Mattia Serrani

We propose a new theory of higher spin gravity in three spacetime dimensions. This is defined by what we will call a Nambu-Chern-Simons (NCS) action; this is to a Nambu 3-algebra as an ordinary Chern-Simons (CS) action is to a Lie…

High Energy Physics - Theory · Physics 2016-07-25 Alex S. Arvanitakis

In this work we use constructs from the dual space of the semi-direct product of the Virasoro algebra and the affine Lie algebra of a circle to write a theory of gravitation which is a natural analogue of Yang-Mills theory. The theory…

High Energy Physics - Theory · Physics 2009-10-30 Thomas Branson , R. P. Lano , V. G. J. Rodgers

We discuss spherically symmetric black holes in the modified self-dual theory of gravity recently studied by Krasnov, obtained adding a Weyl-curvature dependent `cosmological term' to the Plebanski lagrangian for general relativity. This…

General Relativity and Quantum Cosmology · Physics 2009-08-12 Akihiro Ishibashi , Simone Speziale

We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a…

High Energy Physics - Theory · Physics 2025-12-04 Tomas Brauner , Yang Li , Diederik Roest , Tianzhi Wang

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study…

High Energy Physics - Theory · Physics 2011-07-19 E. Gabrielli

A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant…

High Energy Physics - Theory · Physics 2009-10-06 Laurent Baulieu

We discuss static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory for large scalar coupling. These regular asymptotically flat solutions represent monopole-antimonopole chain and vortex ring solutions, as well as new…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Ulrike Neemann , Yasha Shnir

N=2 supersymmetric Yang--Mills theories coupled to matter are considered in the Wess--Zumino gauge. The supersymmetries are realized nonlinearly and the anticommutator between two susy charges gives, in addition to translations, gauge…

High Energy Physics - Theory · Physics 2010-11-01 Nicola Maggiore

We study W-algebras obtained by quantum Hamiltonian reduction of $sl(Mn)$ associated to the $sl(2)$ embedding of rectangular type. The algebra can be realized as the asymptotic symmetry of higher spin gravity with $M \times M$ matrix valued…

High Energy Physics - Theory · Physics 2019-10-23 Thomas Creutzig , Yasuaki Hikida

We find a new property in $W^2$-conformal gravity in spherical symmetry. We demonstrate that the charge of the electromagnetic field varies with respect to the partial scaling symmetry (conformal transformations in subspaces of a spacetime)…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Hongsheng Zhang

Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein)…

High Energy Physics - Theory · Physics 2008-11-26 A. R. Gover , K. Hallowell , A. Waldron

We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries'…

High Energy Physics - Theory · Physics 2016-09-06 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

A scalar cubic action that classically reproduces the self-dual Yang--Mills equations is shown to generate one-loop QCD amplitudes for external gluon all with the same helicity. This result is related to the symmetries of the self-dual…

High Energy Physics - Theory · Physics 2009-10-30 Daniel Cangemi

We revisit the holographic symmetry algebra in the MHV sector. We find an infinite dimensional Abelian symmetry algebra whose generators are the conformally soft negative helicity gravitons and gluons. So the complete symmetry algebra in…

High Energy Physics - Theory · Physics 2025-08-20 Shamik Banerjee , Mousumi Maitra , Raju Mandal , Milan Patra

In this paper we extract from a large-$r$ expansion of the vacuum Einstein's equations a dynamical system governing the time evolution of an infinity of higher-spin charges. Upon integration, we evaluate the canonical action of these…

High Energy Physics - Theory · Physics 2022-05-02 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

This thesis deals with the phase space realization of asymptotic higher spin symmetries, in 4d asymptotically flat spacetimes. In the gravitational case for instance, these symmetries generalize the BMS algebra to include an infinite tower…

High Energy Physics - Theory · Physics 2026-03-30 Nicolas Cresto