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In this paper, a gauge invariant description of massive higher spin bosonic and fermionic particles in frame-like Lagrangian and unfolded formalism in (A)dS${}_4$ is built. A complete set of gauge invariant object is also constructed and…

High Energy Physics - Theory · Physics 2019-10-01 M. V. Khabarov , Yu. M Zinoviev

Parity-even cubic vertices of massless bosons of arbitrary spins in three dimensional Minkowski space are classified in the metric-like formulation. As opposed to higher dimensions, there is at most one vertex for any given triple…

High Energy Physics - Theory · Physics 2018-06-06 Karapet Mkrtchyan

In this paper we discuss in detail the frame-like formulation of free bosonic massless higher-spin fields of general symmetry type in AdS(d), announced recently in hep-th/0311164, hep-th/0501108. Properties of gauge invariant and AdS…

High Energy Physics - Theory · Physics 2011-03-07 K. B. Alkalaev , O. V. Shaynkman , 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

We utilise a quotient of the universal enveloping algebra of the Poincar\'e algebra in three spacetime dimensions, on which we formulate a covariant constancy condition. The equations so obtained contain the Fierz-Pauli equations for…

High Energy Physics - Theory · Physics 2023-03-01 Martin Ammon , Michel Pannier

In this paper, as a first step toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, we consider mixed tensors, corresponding to Young tableau with two rows with k >= 2 boxes in the first row and only one…

High Energy Physics - Theory · Physics 2009-02-12 Yu. M. Zinoviev

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 investigate the unfolded formulation of bosonic Lorentz tensor fields of arbitrary spin in $AdS_3$ containing a parity breaking mass parameter. They include deformations of the linearisations of the Prokushkin--Vasiliev higher spin…

High Energy Physics - Theory · Physics 2016-02-01 Nicolas Boulanger , Dmitry Ponomarev , Ergin Sezgin , Per Sundell

Within unfolded dynamics approach, we represent actions and conserved charges as elements of cohomology of the $L_\infty$ algebra underlying the unfolded formulation of a given dynamical system. The unfolded off-shell constraints for…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Vasiliev

We review the structure of local Lagrangians and field equations for free bosonic and fermionic gauge fields of mixed symmetry in flat space. These are first presented in a constrained setting and then the ($\g$-)trace constraints on fields…

High Energy Physics - Theory · Physics 2009-05-26 Andrea Campoleoni

In recent years the idea that not only the configuration space of particles, i.e. spacetime, but also the corresponding momentum space may have nontrivial geometry has attracted significant attention, especially in the context of quantum…

High Energy Physics - Theory · Physics 2016-06-28 Jakub Mielczarek , Tomasz Trzesniewski

In this paper we construct an unfolded formulation for the massive bosonic higher spins in three dimensions as well as for their partially massless limit of the maximal depth. We begin with the equations for the one-forms coming from the…

High Energy Physics - Theory · Physics 2016-02-17 Yu. M. Zinoviev

The gauge symmetry inherent in the concept of manifold has been discussed. Within the scope of this symmetry the linear connection or displacement field can be considered as a natural gauge field on the manifold. The gauge invariant…

High Energy Physics - Theory · Physics 2010-11-19 A. B. Pestov , Bijan Saha

Minkowski functionals quantify the morphology of smooth random fields. They are widely used to probe statistical properties of cosmological fields. Analytic formulae for ensemble expectations of Minkowski functionals are well known for…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-27 Pravabati Chingangbam , Fazlu Rahman

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral…

Mathematical Physics · Physics 2008-12-19 Juha Pohjanpelto , Stephen C. Anco

BMS symmetries have been attracting a great deal of interest in recent years. Originally discovered as being the symmetries of asymptotically flat spacetime geometries at null infinity in General Relativity, BMS symmetries have also been…

Mathematical Physics · Physics 2019-10-02 Daddy Balondo Iyela , Jan Govaerts

An explicitly covariant formalism for dealing with Bargmann-Wigner fields is developed. An invariance of the Barmann-Wigner norm can be proved in a unified way for both massive and massless fields. It is shown that there exists some freedom…

Quantum Physics · Physics 2007-05-23 Marek Czachor

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

We consider in detail the structure of quartic vertices for massless higher spin fields on Minkowski background, and study the consistency conditions imposed on cubic and quartic interactions by symmetries of the S--matrix. We discuss the…

High Energy Physics - Theory · Physics 2014-08-19 Paul Dempster , Mirian Tsulaia

An extension of the Lorentz group that includes generators $\Gamma^\mu$ carrying a space-time index has been previously demonstrated to \emph{explicitly} construct the Minkowski metric \emph{within} the internal group space as a consequence…

General Physics · Physics 2024-03-19 James Lindesay