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In this paper we construct an unfolded formulation for the massive higher spin N=1 supermultiplets in four dimensional AdS space. We use the same frame-like gauge invariant multispinor formalism that was used previously for their Lagrangian…

High Energy Physics - Theory · Physics 2020-02-26 M. V. Khabarov , Yu. M. Zinoviev

The set of trajectories for massive spinless particles on $AdS_{N+1}$ spacetime is described by the dynamical integrals related to the isometry group SO(2,N). The space of dynamical integrals is mapped one to one to the phase space of the…

High Energy Physics - Theory · Physics 2009-11-11 Harald Dorn , George Jorjadze

In this work we construct an infinite class of four-point functions for massless higher-spin fields in flat space that are consistent with the gauge symmetry. In the Lagrangian picture, these reflect themselves in a peculiar non-local…

High Energy Physics - Theory · Physics 2015-05-30 M. Taronna

We develop two N=2 superfield formulations of free equations of motion for the joint model of all D=4 massless higher-superspin fields in generating form. The explicit Osp(2|4) supersymmetry is achieved without exploiting the harmonic…

High Energy Physics - Theory · Physics 2009-10-31 A. Yu. Segal , A. G. Sibiryakov

The product of two N=8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s > 1/2 correspond to generators of Vasiliev's super higher spin algebra…

High Energy Physics - Theory · Physics 2010-02-03 E. Sezgin , P. Sundell

{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

Extended particles are considered in terms of the fields on the Poincar\'{e} group. Dirac like wave equations for extended particles of any spin are defined on the various homogeneous spaces of the Poincar\'{e} group. Free fields of the…

High Energy Physics - Theory · Physics 2011-10-11 V. V. Varlamov

We construct an N=1 supersymmetric Lagrangian model for the massive superspin-1 superfield. The model is described by a dynamical spinor superfield and an auxiliary chiral scalar superfield. On-shell this model leads to a spin-1/2, spin-3/2…

High Energy Physics - Theory · Physics 2009-11-07 I. L. Buchbinder , S. James Gates , W. D. Linch , J. Phillips

In this Letter we consider the problem of partial masslessness and unitarity in (A)dS using gauge invariant description of massive high spin particles. We show that for S = 2 and S = 3 cases such formalism allows one correctly reproduce all…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

An explicit form for the lagrangian of an arbitrary half-integer superspin ${\textsf{Y}}=s+1/2$ supermultiplet is obtained in $4{\rm D},~\mathcal{N}=1$ superspace. This is accomplished by the introduction of a tower of pairs of auxiliary…

High Energy Physics - Theory · Physics 2021-04-14 Konstantinos Koutrolikos

We introduce N=1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D=1+2 dimensions and being classically equivalent to the formulation based on the Dirac monopole two-form. The model…

High Energy Physics - Theory · Physics 2011-08-12 I. V. Gorbunov , S. M. Kuzenko , S. L. Lyakhovich

The original cubic interaction terms for higher spin gauge fields in four dimensions and their reformulation using Fock space vertex operators is reviewed. As a new result, the complete list of all cubic vertex functions in D=4 is derived.…

High Energy Physics - Theory · Physics 2016-09-23 Anders K. H. Bengtsson

We formulate the equations of motion of a free scalar field in the flat and $AdS$ space of an arbitrary dimension in the form of some "higher spin" covariant constancy conditions. Klein-Gordon equation is interpreted as a non-trivial…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

The relativistic two-component equation describing the free motion of particles with zero mass and spin 1/2, which is P- and T-non-invariant but C-invariant, is found. The representation of the Poincare group for zero mass and discrete spin…

Quantum Physics · Physics 2007-05-23 Wilhelm I. Fushchych

We construct the Lagrangian formulation of massive higher spin on-shell (1,0) supermultiplets in three dimensional anti-de Sitter space. The construction is based on description of the massive three dimensional fields in terms of frame-like…

High Energy Physics - Theory · Physics 2017-09-13 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

Massive higher-spin states/fields appear in the effective description of various systems from hadrons and nuclei to black holes, whenever the point-particle approximation is justified, as well as in the bottom-up approaches to the quantum…

High Energy Physics - Theory · Physics 2025-02-21 William Delplanque

In this work we construct a novel associative algebra and use it to define a theory of higher-spin gravity in (2+1)-dimensional asymptotically flat spacetimes. Our construction is based on a quotient of the universal enveloping algebra…

High Energy Physics - Theory · Physics 2021-02-01 Martin Ammon , Michel Pannier , Max Riegler

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

Nonlinear field equations for totally symmetric bosonic massless fields of all spins in any dimension are presented.

High Energy Physics - Theory · Physics 2009-11-10 M. A. Vasiliev