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Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We analyze asymptotic symmetry algebras in (2+1)-dimensional non-AdS higher-spin gravity with a focus on AdS$_2\times\mathbb{R}$ and $\mathbb{H}_2\times\mathbb{R}$. We find a consistent set of boundary conditions for spin-3 gravity in the…

High Energy Physics - Theory · Physics 2012-10-25 Max Riegler

This dissertation investigates three main topics, all of which dealing with alternative, higher-order gravity theories in four dimensions. Firstly, we study the variational and conformal structure of those theories. Next, we analyse their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Laurent Querella

We consider the charged moments in $SL(3,\mathbb{R})$ higher spin holography, as well as in the dual two-dimensional conformal field theory with $W_3$ symmetry. For the vacuum state and a single entangling interval, we show that the $W_3$…

High Energy Physics - Theory · Physics 2022-06-15 Suting Zhao , Christian Northe , Konstantin Weisenberger , René Meyer

The aim of these Lectures is to provide a brief overview of the subject of asymptotic symmetries of gauge and gravity theories in asymptotically flat spacetimes as background material for celestial holography.

High Energy Physics - Theory · Physics 2022-04-20 P. B. Aneesh , Geoffrey Compère , Leonardo Pipolo de Gioia , Igor Mol , Bianca Swidler

We formulate four dimensional higher spin gauge theories in spacetimes with signature (4-p,p) and nonvanishing cosmological constant. Among them are chiral models in Euclidean (4,0) and Kleinian (2,2) signature involving half-flat gauge…

High Energy Physics - Theory · Physics 2008-11-26 Carlo Iazeolla , Ergin Sezgin , Per Sundell

In this note we discuss some aspects of the frame formulation of conformal higher spins in three dimensions. We give some exact formulae for the coupled spin two - spin three part of the full higher spin theory and propose a star product…

High Energy Physics - Theory · Physics 2015-06-05 Bengt E. W. Nilsson

In free completely symmetric tensor gauge field theories on Minkowski space-time, all gauge invariant functions and Killing tensor fields are computed, both on-shell and off-shell. These problems are addressed in the metric-like formalisms.

High Energy Physics - Theory · Physics 2010-04-05 Xavier Bekaert , Nicolas Boulanger

In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincar\'e or Maxwell algebras and several of their higher-spin generalisations, both of…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Bekaert , Michel Pannier

These notes are intended to be a pedagogical introduction to higher-form symmetries, which are symmetries whose charged objects are extended operators supported on lines, surfaces, and etc. This subject has been one of the most popular and…

High Energy Physics - Theory · Physics 2023-09-20 Pedro R. S. Gomes

We review recent progress in the construction of black holes in three dimensional higher spin gravity theories. Starting from spin-3 gravity and working our way toward the theory of an infinite tower of higher spins coupled to matter, we…

High Energy Physics - Theory · Physics 2015-06-11 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

We present a critical review about the study of linear perturbations of matched spacetimes including gauge problems. We analyse the freedom introduced in the perturbed matching by the presence of background symmetries and revisit the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marc Mars , Filipe C. Mena , Raul Vera

An example of a consistent theory with massive higher spin fields is constructed in flat space-time of dimension three. The action is written in the light-cone gauge. The theory has certain stringy features, e.g. its spectrum is unbounded…

High Energy Physics - Theory · Physics 2021-01-04 Evgeny Skvortsov , Tung Tran , Mirian Tsulaia

This Thesis reviews some recent developments about higher-spin interactions in flat and constant curvature backgrounds. Particular attention is given to the ambient-space formulation of the problem, both at the cubic and at the quartic…

High Energy Physics - Theory · Physics 2012-11-08 Massimo Taronna

We develop the frame-like formulation of massive bosonic higher spins fields in the case of 3-dimensional $(A)dS$ space with the arbitrary cosmological constant. The formulation is based on gauge-invariant description by involving the…

High Energy Physics - Theory · Physics 2015-06-05 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

Properties of the functional classes of star-product elements associated with higher-spin gauge fields and gauge parameters are elaborated. Cohomological interpretation of the nonlinear higher-spin equations is given. An algebra ${\mathcal…

High Energy Physics - Theory · Physics 2015-05-29 M. A. Vasiliev

We study Vasiliev's higher-spin gravity in 3+1d. We formulate the theory in the so-called compensator formalism, where the local isometry group SO(4,1) is reduced to the Lorentz group SO(3,1) by a choice of spacelike direction in an…

High Energy Physics - Theory · Physics 2017-05-30 Yasha Neiman

We consider the consequences of global higher-spin symmetries in quantum field theories on a fixed de Sitter background of spacetime dimension $D \ge 3$. These symmetries enhance the symmetry group associated with the isometries of the de…

High Energy Physics - Theory · Physics 2016-03-22 Renato Costa , Ian A. Morrison

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

Classical W-gravities and the corresponding quantum theories are reviewed. W-gravities are higher-spin gauge theories in two dimensions whose gauge algebras are W-algebras. The geometrical structure of classical W-gravity is investigated,…

High Energy Physics - Theory · Physics 2008-02-03 C. M. Hull