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Related papers: Dynamics of Higher Spin Fields and Tensorial Space

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We study the excitation spectrum and dynamical response functions for several quasi-one-dimensional spin systems in magnetic fields without dipolar spin order transverse to the field. This includes both nematic phases, which harbor "hidden"…

Strongly Correlated Electrons · Physics 2014-04-04 Oleg A. Starykh , Leon Balents

We present a complete solution to the problem of Formal Higher Spin Gravities --- formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon linearization. The problem is shown to be…

High Energy Physics - Theory · Physics 2019-05-01 A. A. Sharapov , E. D. Skvortsov

We construct the Wightman function for symmetric traceless tensors and Dirac fermions in dS$_{d+1}$ in a coordinate and index free formalism using a $d+2$ dimensional ambient space. We expand the embedding space formalism to cover spinor…

High Energy Physics - Theory · Physics 2022-12-16 Ben Pethybridge , Vladimir Schaub

We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained…

High Energy Physics - Theory · Physics 2016-11-23 Mikhail Vasiliev

We examine zero-form charges in Vasiliev's four-dimensional bosonic higher spin gravities. These are classical observables given by integrals over noncommutative twistor space of adjoint combinations of the zero-form master fields,…

High Energy Physics - Theory · Physics 2015-03-20 Nicolò Colombo , Per Sundell

We study the cubic vertices for Maxwell-like higher-spins in flat and (A)dS background spaces of any dimension. Reducibility of their free spectra implies that a single cubic vertex involving any three fields subsumes a number of couplings…

High Energy Physics - Theory · Physics 2017-05-24 Dario Francia , Gabriele Lo Monaco , Karapet Mkrtchyan

It is shown that similarly to massless superparticle, classical global symmetry of the Berkovits twistor string action is infinite-dimensional. We identify its superalgebra, whose finite-dimensional subalgebra contains $psl(4|4,\mathbb R)$…

High Energy Physics - Theory · Physics 2014-11-12 D. V. Uvarov

Some methods of the ``unfolded dynamics'' machinery particularly useful for the analysis of higher spin gauge theories are summarized. A formulation of 4d conformal higher spin theories in Sp(8) invariant space-time with matrix coordinates…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Vasiliev

We address the issue of electromagnetic interaction for massive higher-spin fields in $3d$ Minkowski space. We show that consistent field equations can be obtained through the dimensional reduction of the higher-spin extension of self-dual…

High Energy Physics - Theory · Physics 2024-12-17 Alexey Sharapov , David Shcherbatov , Evgeny Skvortsov

We study the constraints imposed by the existence of a single higher spin conserved current on a three dimensional conformal field theory. A single higher spin conserved current implies the existence of an infinite number of higher spin…

High Energy Physics - Theory · Physics 2011-12-06 Juan Maldacena , Alexander Zhiboedov

The covariant description of massless particles of arbitrary spin typically employs symmetric tensors of rank $s$ and rests on a local symmetry carried by symmetric tensor parameters of rank $s-1$, suitably generalizing the $U(1)$…

High Energy Physics - Theory · Physics 2025-10-27 Will Barker , Dario Francia , Carlo Marzo , Alessandro Santoni

We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show…

High Energy Physics - Theory · Physics 2012-09-28 Paul de Medeiros

$CPT$ groups of higher spin fields are defined in the framework of automorphism groups of Clifford algebras associated with the complex representations of the proper orthochronous Lorentz group. Higher spin fields are understood as the…

Mathematical Physics · Physics 2015-05-28 V. V. Varlamov

In $D$ dimensional de Sitter space, a scalar field has an infinite tower of special tachyonic mass values at which enhanced shift symmetries appear. After modding out by these shift symmetries, these fields correspond to the unitary…

High Energy Physics - Theory · Physics 2025-05-07 Kara Farnsworth , Kurt Hinterbichler , Samanta Saha

We consider field equations of spinors with torsional interactions having higher-order dimension: by applying the Velo-Zwanziger method, we obtain that it is always possible to find situations where the propagation is affected by non-causal…

High Energy Physics - Theory · Physics 2018-05-10 Luca Fabbri

We study unitary conformal field theories with a unique stress tensor and at least one higher-spin conserved current in four dimensions. We prove that every such theory contains an infinite number of higher-spin conserved currents of…

High Energy Physics - Theory · Physics 2013-08-06 Vasyl Alba , Kenan Diab

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless…

High Energy Physics - Theory · Physics 2011-07-19 Igor A. Bandos , Jose A. de Azcarraga , Cesar Miquel-Espanya

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in…

High Energy Physics - Theory · Physics 2015-06-26 D. Francia , A. Sagnotti

Off-shell higher spin N=2 supermultiplets in three spacetime dimensions (3D) are presented in this paper. We propose gauge prepotentials for higher spin superconformal gravity and construct the corresponding gauge-invariant field strengths,…

High Energy Physics - Theory · Physics 2016-11-30 Sergei M. Kuzenko , Daniel X. Ogburn

Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-particle amplitudes acquire the form of an integral of a…

High Energy Physics - Theory · Physics 2020-01-08 Y. O. Goncharov , M. A. Vasiliev