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Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

A new construction for gauge invariant functionals in the nonlinear higher-spin theory is proposed. Being supported by differential forms closed by virtue of the higher-spin equations, invariant functionals are associated with central…

High Energy Physics - Theory · Physics 2017-01-13 M. A. Vasiliev

The dynamics of higher-spin fields in braneworlds is discussed. In particular, we study fermionic and bosonic higher-spin fields in AdS_5 and their localization on branes. We find that four-dimensional zero modes exist only for spin-one…

High Energy Physics - Theory · Physics 2009-11-10 Cristiano Germani , Alex Kehagias

We discuss a class of teleparallel scalar-torsion theories of gravity, which is parametrized by five free functions of the scalar field. The theories are formulated covariantly using a flat, but non-vanishing spin connection. We show how…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

If the graviton is the only high spin particle present during inflation, then the form of the observable tensor three-point function is fixed by de Sitter symmetry at leading order in slow-roll, regardless of the theory, to be a linear…

High Energy Physics - Theory · Physics 2019-10-30 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

{A} Higher Spin Gravity in five dimensions is constructed. It was shown recently that constructing formally consistent classical equations of motion of higher spin gravities is equivalent to finding a certain deformation of a given higher…

High Energy Physics - Theory · Physics 2020-01-28 Alexey Sharapov , Evgeny Skvortsov , Tung Tran

The problem of constructing gauge-invariant actions for conformal higher-spin fields in curved backgrounds is known to be notoriously difficult. In this paper we present gauge-invariant models for conformal maximal depth fields with spin…

High Energy Physics - Theory · Physics 2020-05-29 Sergei M. Kuzenko , Michael Ponds

Using Poincare parametrization of AdS space, we study totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge…

High Energy Physics - Theory · Physics 2009-01-22 R. R. Metsaev

Recently, a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was given a covariant formulation both in flat and $(A)dS_4$ spacetimes at the level of equations of motion. We…

High Energy Physics - Theory · Physics 2023-04-05 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov , Richard Van Dongen

We discuss the canonical structure of the collective formulation of Vector Model/Higher Spin Duality in AdS$_4$. This involves a construction of bulk AdS Higher Spin fields through a time-like bi-local Map, with a Hamiltonian and canonical…

High Energy Physics - Theory · Physics 2016-08-10 Robert de Mello Koch , Antal Jevicki , João P. Rodrigues , Junggi Yoon

Using polarization spinor methods in conjunction with the superspace formalism, we construct 3-point superconformal invariants that are used to determine the form of 3-point correlators of spinning superfield operators in $\mathcal{N}=1$…

High Energy Physics - Theory · Physics 2025-02-24 Aditya Jain , Amin A. Nizami

We analyze the Weyl invariance constraints on higher spin vertex operators in open superstring theory describing massless higher spin gauge field excitations in d-dimensional space-time. We show that these constraints lead to low-energy…

High Energy Physics - Theory · Physics 2015-06-16 Dimitri Polyakov

We study Higher-Spin Gravity in 4-dimensional (Anti-)de Sitter space, at leading order in the interactions (cubic vertices), in the AdS lightcone formalism developed by Metsaev. Using the vertices' chiral structure, we extend the formalism…

High Energy Physics - Theory · Physics 2026-03-10 Jin Kozaki , Julian Lang , Yasha Neiman

We compute conformal correlation functions with spinor, tensor, and spinor-tensor primary fields in general dimensions with Euclidean and Lorentzian metrics. The spinors are taken to be Dirac spinors, which exist for any dimensions. For…

High Energy Physics - Theory · Physics 2019-07-16 Hiroshi Isono

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

High Energy Physics - Theory · Physics 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

In a supergravity framework, the $\cal N$-extended anti-de Sitter (AdS) superspace in four spacetime dimensions, $\text{AdS}^{4|4\cal N} $, is a maximally symmetric background that is described by a curved superspace geometry with structure…

High Energy Physics - Theory · Physics 2025-03-12 Nowar E. Koning , Sergei M. Kuzenko , Emmanouil S. N. Raptakis

We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved currents in $AdS_3$ are shown to be exact in the class of infinite expansions in higher…

High Energy Physics - Theory · Physics 2009-10-31 Sergey Prokushkin , Mikhail Vasiliev

We analyze the constraints on the general form and the singularity structure of the correlation functions of the symmetric, traceless and conserved stress-energy tensor implied by conformal invariance and higher spin symmetry in four…

High Energy Physics - Theory · Physics 2015-06-16 Yassen S. Stanev

Spinor description for the curvatures of $D=5$ Yang-Mills, Rarita-Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence…

High Energy Physics - Theory · Physics 2016-07-19 D. V. Uvarov

Pure gauge representation for general vacuum background fields (Cartan forms) in the generalized $AdS$ superspace identified with $OSp(L,M)$ is found. This allows us to formulate dynamics of free massless fields in the generalized $AdS$…

High Energy Physics - Theory · Physics 2008-11-26 V. E. Didenko , M. A. Vasiliev