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The representation theory underlying the infinite-component relativistic wave equation written by Majorana is revisited from a modern perspective. On the one hand, the massless solutions of this equation are shown to form a supermultiplet…

High Energy Physics - Theory · Physics 2011-04-14 Xavier Bekaert , Michel Rausch de Traubenberg , Mauricio Valenzuela

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Bora Orcal

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

We elaborate on the traceless and transverse spin projectors in four-dimensional de Sitter and anti-de Sitter spaces. The poles of these projectors are shown to correspond to partially massless fields. We also obtain a factorisation of the…

High Energy Physics - Theory · Physics 2020-01-08 Sergei M. Kuzenko , Michael Ponds

We present a twistor description for null two-surfaces (null strings) in 4D Minkowski space-time. The Lagrangian density for a variational principle is taken as a surface-forming null bivector. The proposed formulation is reparametrization…

High Energy Physics - Theory · Physics 2009-12-14 Kostyantin Ilyenko

We present a gauge field theory for the continuous spin tachyonic representation of the Poincar\'e group. It was obtained by a dimensional reduction of a complex gauge field theory for a continuous spin particle in a cotangent bundle over…

High Energy Physics - Theory · Physics 2023-08-16 Victor O. Rivelles

Solutions of massless spin-2 field equations are written in terms of massless spin-$\frac{3}{2}$ Rarita-Schwinger fields and twistor spinors. It is shown that the proposed massless spin-2 fields satisfy the tracelessness and…

High Energy Physics - Theory · Physics 2020-08-25 Özgür Açık , Ümit Ertem

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

In this paper we investigate the manner in which the internal spin angular momentum of a spinor field is encoded in the gravitational field at asymptotic infinity. The inclusion of internal spin requires us to re-analyze our notion of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Andrew Randono , David Sloan

We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in 2+1 dimensional anti-de Sitter space in the form of some covariant constantness conditions. The infinite-dimensional representation of the anti-de…

High Energy Physics - Theory · Physics 2009-10-30 A. V. Barabanschikov , S. F. Prokushkin , M. A. Vasiliev

Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it was shown that the same d=4 twistor…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Moises Picon

Unfolded equations of motion for symmetric massive bosonic fields of any spin in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action for a spin $s \ge 2$ massive field in any dimension is constructed in terms of…

High Energy Physics - Theory · Physics 2011-09-07 D. S. Ponomarev , M. A. Vasiliev

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

This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space-time and cohomology classes on twistor space, where twistor space is defined to be the space of projective pure…

High Energy Physics - Theory · Physics 2012-10-24 L. J. Mason , R. A. Reid-Edwards , A. Taghavi-Chabert

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

For the gauge massless higher spin 4D, N = 1 off-shell supermultiplets previously developed, we provide evidence of a twistor-like oscillator realization that is intrinsically related to the superfield structure of the dynamical variables…

High Energy Physics - Theory · Physics 2010-02-03 S. J. Gates , S. M. Kuzenko

The manifestly gauge invariant formulation for free symmetric partially massless fields in $(A)dS_d$ is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of $(o(d-1,2)) o(d,1)$…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N=2 Poincare superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are…

High Energy Physics - Theory · Physics 2022-01-05 R. R. Metsaev

We develop the basics of twistor theory in de Sitter space, up to the Penrose transform for free massless fields. We treat de Sitter space as fundamental, as one does for Minkowski space in conventional introductions to twistor theory. This…

High Energy Physics - Theory · Physics 2016-05-24 Yasha Neiman

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz…

High Energy Physics - Theory · Physics 2009-10-31 Itzhak Bars