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We provide an explicit Lagrangian construction for the massless infinite spin N=1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin…

High Energy Physics - Theory · Physics 2019-09-04 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

We consider free massive and massless higher integer spins in AdS backgrounds in general D dimensions. We obtain the solutions corresponding to the highest-weight state of the spin-\ell representations of the SO(2,D-1) isometry groups. The…

High Energy Physics - Theory · Physics 2015-05-30 H. Lu , Kai-Nan Shao

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{$SO(d-1)$} compact group and propagating in even $d$-dimensional anti-de Sitter spacetime are investigated. Free wave equations of…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Metsaev

We study several formulations of zero-mass relativistic equations, stressing similarities between different frameworks. It is shown that all these massless wave equations have fermionic as well as bosonic solutions.

Mathematical Physics · Physics 2013-04-16 Andrzej Okniński

In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N=1 supermultiplets containing partially massless fields in…

High Energy Physics - Theory · Physics 2019-10-02 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

Free mixed-symmetry arbitrary spin massive bosonic and fermionic fields propagating in AdS(5) are investigated. Using the light-cone formulation of relativistic dynamics we study bosonic and fermionic fields on an equal footing. Light-cone…

High Energy Physics - Theory · Physics 2009-11-10 R. R. Metsaev

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic…

High Energy Physics - Theory · Physics 2017-11-16 Yu. M. Zinoviev

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal…

High Energy Physics - Theory · Physics 2009-10-31 S. E. Konstein , M. A. Vasiliev , V. N. Zaikin

Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields…

High Energy Physics - Theory · Physics 2018-01-17 R. R. Metsaev

Exact self-consistent particle-like solutions with spherical and/or cylindrical symmetry to the equations governing the interacting system of scalar, electromagnetic and gravitational fields have been obtained. As a particular case it is…

General Relativity and Quantum Cosmology · Physics 2010-05-27 Yu. P. Rybakov , B. Saha , G. N. Shikin

We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of…

High Energy Physics - Theory · Physics 2020-01-08 Joris Raeymaekers

In this article we address the question of asymptotic symmetry of massless scalar field at null infinity. We slightly generalize notion of asymptotic symmetry in order to make sense for the theory without gauge symmetry. Derivations of the…

High Energy Physics - Theory · Physics 2023-10-26 Dejan Simić

A unification of Klein--Gordon, Dirac, Maxwell, Rarita--Schwinger and Einstein equations exact solutions (for the massless fields cases) is presented. The method is based on writing all of the relevant dynamical fields in terms of products…

Quantum Physics · Physics 2022-04-20 Sergio A. Hojman , Felipe A. Asenjo

We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincare group.The fermionic part of these models consists of…

High Energy Physics - Theory · Physics 2018-04-04 Dmitri Sorokin , Mirian Tsulaia

We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is…

High Energy Physics - Theory · Physics 2024-09-27 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We study the exact solutions of both, massless and massive, scalar field theory on the noncommutative $AdS_2$. We also discuss some important limits in order to compare with known results.

High Energy Physics - Theory · Physics 2023-08-08 A. Pinzul , A. Stern

Within the scope of a spherically symmetric space-time we study the role of a nonlinear spinor field in the formation of different configurations with spherical symmetries. The presence of the non-diagonal components of energy-momentum…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Bijan Saha

We propose the relativistic point particle models invariant under the bosonic counterpart of SUSY. The particles move along the world lines in four dimensional Minkowski space extended by $N$ commuting Weyl spinors. The models provide after…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Fedoruk , Jerzy Lukierski

We give a systematic account of unconstrained free bosonic higher-spin fields on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism. The generalized spin connections are determined by solving a chain of torsion-like…

High Energy Physics - Theory · Physics 2009-06-11 Johan Engquist , Olaf Hohm
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