The paper is devoted to a study of properties of homogeneous solutions of massless field equation in higher dimensions. We first treat the case of dimension 4. Here we use the two-component spinor language (developed for purposes of general relativity). We describe how are massless field operators related to a higher spin analogues of the de Rham sequence - the so called Bernstein-Gel'fand-Gel'fand (BGG) complexes - and how are they related to the twisted Dirac operators. Then we study similar question in higher (even) dimensions. Here we have to use more tools from representation theory of the orthogonal group. We recall the definition of massless field equations in higher dimensions and relations to higher dimensional conformal BGG comple...
The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin ...
We present a review of the homological algebra tools involved in the standard de Rham theory and the...
Massless fields of generic Young symmetry type in AdS(d) space are analyzed. It is demonstrated that...
The paper is devoted to a study of properties of homogeneous solutions of massless field equation in...
The massless field equations for lower integer and half-integer values of spin in Minkowski space ar...
The higher spin Dirac operator Q_{k,l} acting on functions taking values in an irreducible represent...
In a series of recent papers, we have introduced higher spin Dirac operators, which are far-reaching...
In this paper an explicit expression is determined for the elliptic higher spin Dirac operator, acti...
The polynomial null solutions are studied of the higher spin Dirac operator Q_k;l acting on function...
In the Clifford analysis context a specific type of solution for the higher spin Dirac operators Q(k...
We extend our earlier work on the minimal unitary representation of SO(d,2) and its deformations for...
AbstractWe extend our earlier work on the minimal unitary representation of SO(d,2) and its deformat...
Abstract: We study actions for massive bosonic particles of higher spins by dimensionally reducing a...
The action of the free massless spin-5/2 tensor-spinor field ψ_(μν) is decomposed into its canonical...
SILVA FILHO, Carlos Alberto Batista da, também é conhecido em citações bibliográficas por: BATISTA, ...
The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin ...
We present a review of the homological algebra tools involved in the standard de Rham theory and the...
Massless fields of generic Young symmetry type in AdS(d) space are analyzed. It is demonstrated that...
The paper is devoted to a study of properties of homogeneous solutions of massless field equation in...
The massless field equations for lower integer and half-integer values of spin in Minkowski space ar...
The higher spin Dirac operator Q_{k,l} acting on functions taking values in an irreducible represent...
In a series of recent papers, we have introduced higher spin Dirac operators, which are far-reaching...
In this paper an explicit expression is determined for the elliptic higher spin Dirac operator, acti...
The polynomial null solutions are studied of the higher spin Dirac operator Q_k;l acting on function...
In the Clifford analysis context a specific type of solution for the higher spin Dirac operators Q(k...
We extend our earlier work on the minimal unitary representation of SO(d,2) and its deformations for...
AbstractWe extend our earlier work on the minimal unitary representation of SO(d,2) and its deformat...
Abstract: We study actions for massive bosonic particles of higher spins by dimensionally reducing a...
The action of the free massless spin-5/2 tensor-spinor field ψ_(μν) is decomposed into its canonical...
SILVA FILHO, Carlos Alberto Batista da, também é conhecido em citações bibliográficas por: BATISTA, ...
The minimal bosonic higher spin gauge theory in four dimensions contains massless particles of spin ...
We present a review of the homological algebra tools involved in the standard de Rham theory and the...
Massless fields of generic Young symmetry type in AdS(d) space are analyzed. It is demonstrated that...