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We discuss the construction of $\kappa$-Poincar\'e invariant actions for gauge theories on $\kappa$-Minkowski spaces. We consider various classes of untwisted and (bi)twisted differential calculi. Starting from a natural class of…

High Energy Physics - Theory · Physics 2020-06-01 Philippe Mathieu , Jean-Christophe Wallet

We construct a manifestly gauge invariant Lagrangian in 3+1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example, if the bulk is 4+1, the effective theory is \Pi_{i=1}^{N+1} SU(m)_i with N chiral (\bar{m},m)…

High Energy Physics - Theory · Physics 2009-11-07 Christopher T. Hill , Stefan Pokorski , Jing Wang

In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the…

High Energy Physics - Theory · Physics 2016-01-01 Glenn Barnich , Xavier Bekaert , Maxim Grigoriev

We exploit the fact that, in Minkowski space-time, gamma matrices are possibly more fundamental than the metric to describe how gauge invariance at perturbative level enforces a Lagrangian for spinor electrodynamics with massless photons.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Giampiero Esposito

A Poincar\'e covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin $s>1/2$ in four-dimensional Minkowski space. By making use of this Lagrange…

High Energy Physics - Theory · Physics 2012-04-13 Dmitry S. Kaparulin , Simon L. Lyakhovich , Alexey A. Sharapov

We construct Lorentz-invariant massless/massive spin-2 theories in flat spacetime. Starting from the most generic action of a rank-2 symmetric tensor field whose Lagrangian contains up to quadratic in first derivatives of a field, we…

High Energy Physics - Theory · Physics 2019-04-24 Atsushi Naruko , Rampei Kimura , Daisuke Yamauchi

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the…

High Energy Physics - Theory · Physics 2007-05-23 Marija Dimitrijevic , Frank Meyer , Lutz Möller , Julius Wess

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

In this paper we elaborate on the gauge invariant frame-like Lagrangian description for the wide class of the so-called infinite (or continuous) spin representations of Poincar\'e group. We use our previous results on the gauge invariant…

High Energy Physics - Theory · Physics 2018-03-14 M. V. Khabarov , Yu. M. Zinoviev

We have shown that two of the most studied models of lineal gravities - Liouville gravity and a ``string-inspired'' model exhibiting the main characteristic features of a black-hole solution - can be formulated as gauge invariant theories…

General Relativity and Quantum Cosmology · Physics 2009-10-22 G. Grignani , G. Nardelli

We consider general linear gauge theory, with independent solder form and connection. These spaces have both torsion and nonmetricity. We show that the Cartan structure equations together with the defining equation for nonmetricity allow…

General Relativity and Quantum Cosmology · Physics 2025-03-24 James T. Wheeler

A $(1+1)$ dimensional model where vector and axial vector interaction get mixed up with different weight is considered with a generalized masslike term for gauge field. Through Poincar\'e algebra it has been made confirm that only a Lorentz…

High Energy Physics - Theory · Physics 2016-12-20 Safia Yasmin , Anisur Rahaman

We give a brief introduction into the gauge invariant formulation of irreducible massive bosonic higher spin fields. We discuss both free Lagrangians and the ones which include cubic interactions. We demonstrate an application of these…

High Energy Physics - Theory · Physics 2025-12-29 Julian Lang , Mirian Tsulaia

The unfolded formulation for arbitrary massless mixed-symmetry bosonic and fermionic fields in Minkowski space is constructed. The unfolded form is proved to be uniquely determined by the requirement that all gauge symmetries are manifest.…

High Energy Physics - Theory · Physics 2014-11-18 E. D. Skvortsov

We develop the BRST approach to Lagrangian formulation for massive bosonic and massless fermionic higher spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the…

High Energy Physics - Theory · Physics 2007-05-23 I. L Buchbinder , V. A. Krykhtin

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

In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4- vector. A la Majorana interpretation of the 6- component…

High Energy Physics - Theory · Physics 2016-05-20 Valeriy V. Dvoeglazov

We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group -- subject to a Young tableaux $Y(s_1,\ldots ,s_k)$ with $k\geq 2$ rows -- in a $d$-dimensional…

High Energy Physics - Theory · Physics 2023-11-28 A. Reshetnyak , P. Moshin

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

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

High Energy Physics - Theory · Physics 2018-10-25 Alexander A. Reshetnyak