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Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces $G/H$. One class of currents is based on generators of the de Rham cohomology ring of $G/H$; a second class of…

High Energy Physics - Theory · Physics 2010-04-05 J. M. Evans , C. A. S. Young

We provide a review of gauge field theories with higher spin, focusing on the classical theory of massless bosons in flat Minkowski spacetime. A brief introduction to the concept of spin is provided along with a historical review of some of…

High Energy Physics - Theory · Physics 2018-09-10 Ivan Vuković

We have constructed conserved $\mathcal{N}=2$ higher-spin supercurrents for an arbitrary integer spin through the unconstrained superfield formulation of $4D,\, \mathcal{N}=2$ massless higher-spin theories in the harmonic superspace. The…

High Energy Physics - Theory · Physics 2024-10-08 Nikita Zaigraev

The question of gauge-covariance in the non-Abelian gauge-field formulation of two space-dimensional systems with spin-orbit coupling relevant to spintronics is investigated. Although, these are generally gauge-fixed models, it is found…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 M. S. Shikakhwa , S. Turgut , N. K. pak

We study the amplitude for exchange of massless gauge bosons between pairs of massive scalar fields in Anti-de Sitter space. In the AdS/CFT correspondence this amplitude describes the contribution of conserved flavor symmetry currents to…

High Energy Physics - Theory · Physics 2008-11-26 Eric D'Hoker , Daniel Z. Freedman

Using the off-shell formulation for ${\cal N}=2$ conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge…

High Energy Physics - Theory · Physics 2022-01-19 Sergei M. Kuzenko , Emmanouil S. N. Raptakis

We calculate the anomalous dimensions of higher-spin currents, both singlet and non-singlet, in the Gross-Neveu model at the $1/n^2$ order. It was conjectured that in the critical regime this model is dual to a higher-spin gauge theory on…

High Energy Physics - Theory · Physics 2017-07-14 A. N. Manashov , E. D. Skvortsov

We analyse the general structure of the three-point functions involving conserved higher-spin currents $J_{s} := J_{\alpha(i) \dot{\alpha}(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the…

High Energy Physics - Theory · Physics 2023-10-13 Evgeny I. Buchbinder , Benjamin J. Stone

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that the unfolded equations of free massless fields, that have a form of multidimensional…

High Energy Physics - Theory · Physics 2009-10-21 O. A. Gelfond , M. A. Vasiliev

In de Sitter (dS) gravity, where gravity is a gauge field introduced to realize the local dS invariance of the matter field, two kinds of conservation laws are derived. The first kind is a differential equation for a dS-covariant current,…

General Relativity and Quantum Cosmology · Physics 2016-07-08 Jia-An Lu

In a conformally flat three-dimensional spacetime, the linearised higher-spin Cotton tensor $\mathfrak{C}_{\alpha(n)}(h)$ is the unique conserved conformal current which is a gauge-invariant descendant of the conformal gauge prepotential…

High Energy Physics - Theory · Physics 2021-06-16 Sergei M. Kuzenko , Michael Ponds

An analysis of the structure and singularities of the one loop two point function of the higher spin traceless and conserved currents constructed from the single scalar field in $AdS$ space is presented. The detailed renormalization…

High Energy Physics - Theory · Physics 2010-04-05 Ruben Manvelyan , Werner Ruehl

We propose a systematic procedure for extracting gauge invariant and gauge fixed actions for various higher-spin gauge field theories from covariant bosonic open string field theory. By identifying minimal gauge invariant part for the…

High Energy Physics - Theory · Physics 2015-06-11 Masako Asano

We propose a description of continuous spin massless fields of mixed-symmetry type in Minkowski space at the level of equations of motion. It is based on the appropriately modified version of the constrained system originally used to…

High Energy Physics - Theory · Physics 2018-04-04 K. B. Alkalaev , M. A. Grigoriev

We give a new construction of conserved charges in asymptotically anti-de Sitter spacetimes in Einstein's gravity. The new formula is explicitly gauge-invariant and makes direct use of the linearized curvature tensor instead of the metric…

High Energy Physics - Theory · Physics 2019-02-20 Emel Altas , Bayram Tekin

The higher spin interaction currents for the conformally coupled scalar in $AdS_{4}$ space for both regular and irregular boundary condition corresponding to the free and interacting critical point of the boundary O(N) sigma model are…

High Energy Physics - Theory · Physics 2009-11-10 R. Manvelyan , W. Ruehl

In 2001, Zinoviev proposed a gauge-invariant formulation for a massive bosonic field with spin $s \geq 2$ in a spacetime of constant curvature. In this paper we carry out the Faddeev-Popov quantisation of this theory in $d$-dimensional…

High Energy Physics - Theory · Physics 2023-10-03 John H. Fegebank , Sergei M. Kuzenko

Operator algebra of (not necessarily free) higher-spin conformal conserved currents in generalized matrix spaces, that include 3d Minkowski space-time as a particular case, is shown to be determined by an associative algebra $M$ of…

High Energy Physics - Theory · Physics 2015-06-12 O. A. Gelfond , M. A. Vasiliev

We formulate gauge invariant interactions of totally symmetric tensor and tensor-spinor higher spin gauge fields in AdS(5) that properly account for higher-spin-gravitational interactions at the action level in the first nontrivial order.

High Energy Physics - Theory · Physics 2009-11-07 K. B. Alkalaev , M. A. Vasiliev

We propose a new gauge field theory which is an extension of ordinary string field theory by assembling multiple state spaces of the bosonic string. The theory includes higher spin fields in its massless spectrum together with the infinite…

High Energy Physics - Theory · Physics 2015-06-17 Masako Asano , Mitsuhiro Kato