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A frame-like action for massless mixed-symmetry fermionic fields in Minkowski space is constructed. The action is uniquely determined by gauge invariance.

High Energy Physics - Theory · Physics 2010-12-17 E. D. Skvortsov , Yu. M. Zinoviev

Using BRST-BV formulation of relativistic dynamics, arbitrary spin massless and massive field propagating in flat space and arbitrary spin massless fields propagating in AdS space are considered. For such fields, BRST-BV Lagrangians…

High Energy Physics - Theory · Physics 2016-06-29 R. R. Metsaev

A program searching for symmetry structures behind some features of the standard Model is launched. After addressing known no-go theorems, we construct a novel symmetry mixing gauge and Higgs fields which is a Lorentz symmetry extension…

High Energy Physics - Theory · Physics 2024-01-24 Luis Alberto Wills-Toro

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

We consider a general two-dimensional gravity model minimally or nonminimally coupled to a scalar field. The canonical form of the model is elucidated, and a general solution of the equations of motion in the massless case is reviewed. In…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. O. Katanaev

N-extended massless arbitrary integer and half-integer spin supermultiplets in four dimensional flat space are studied in the framework of light-cone gauge formalism. For such multiplets, by using light-cone momentum superspace, we build…

High Energy Physics - Theory · Physics 2020-01-08 R. R. Metsaev

We define a new algebraic extension of the Poincar\'e symmetry; this algebra is used to implement a field theoretical model. Free Lagrangians are explicitly constructed; several discussions regarding degrees of freedom, compatibility with…

High Energy Physics - Theory · Physics 2008-12-19 Adrian Tanasa

We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$…

High Energy Physics - Theory · Physics 2008-11-26 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry…

High Energy Physics - Theory · Physics 2016-08-12 R. R. Metsaev

We show how implementing invariance under divergence-free gauge transformations leads to a remarkably simple Lagrangian description of massless bosons of any spin. Our construction covers both flat and (A)dS backgrounds and extends to…

High Energy Physics - Theory · Physics 2015-06-05 Andrea Campoleoni , Dario Francia

Free AdS(5) mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins are described by using su(2,2) spinor language. Manifestly covariant action functionals are constructed and field equations are derived.

High Energy Physics - Theory · Physics 2008-11-26 K. B. Alkalaev

Totally symmetric massless fermionic fields of arbitrary spins in AdS(5) are described as su(2,2) multispinors. The approach is based on the well-known isomorfism o(4,2)=su(2,2). Explicitly gauge invariant higher spin free actions are…

High Energy Physics - Theory · Physics 2009-11-07 K. B. Alkalaev

In a recent paper arXiv:1107.1872 cubic gravitational interactions for a massless mixed symmetry field in AdS space have been constructed. In the current paper we extend these results to the case of massive field. We work in a…

High Energy Physics - Theory · Physics 2015-05-28 Yu. M. Zinoviev

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

A recent progress in a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS and Minkowski spaces is presented. The procedure is based on a BFV-BRST operator, encoding the initial conditions…

High Energy Physics - Theory · Physics 2007-12-01 Alexander A. Reshetnyak

Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

High Energy Physics - Theory · Physics 2009-02-23 R. R. Metsaev

In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the…

High Energy Physics - Theory · Physics 2009-09-28 Yu. M. Zinoviev

In all the odd dimensions which allow Majorana spinors, we consider a gravitational Lagrangian possessing local Poincare invariance and given by the dimensional continuation of the Euler density in one dimension less. We show that the local…

High Energy Physics - Theory · Physics 2014-11-18 Mokhtar Hassaine , Mauricio Romo

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

We generalize the first class constraints that describe the infinite spin irreducible $4D$ Poincar\'{e} group representation in flat space to new first class constraints in $AdS_4$ space. The constraints are realized as operators acting in…

High Energy Physics - Theory · Physics 2024-07-18 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev , V. A. Krykhtin