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The massive spinning particle in six-dimensional Minkowski space is described as a mechanical system with the configuration space ${\ R}% ^{5,1}\times {\ CP}^3$. The action functional of the model is unambigiously determined by the…

High Energy Physics - Theory · Physics 2011-04-15 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

In this paper we give explicit construction of massive N=1 supermultiplets in flat d=4 Minkowski space-time. We work in a component on-shell formalism based on gauge invariant description of massive integer and half-integer spin particles…

High Energy Physics - Theory · Physics 2008-11-26 Yu. M. Zinoviev

Lattice gauge theories are a powerful language to theoretically describe a variety of strongly correlated systems, including frustrated magnets, high-$T_c$ superconductors, and topological phases. However, in many cases gauge fields couple…

Strongly Correlated Electrons · Physics 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

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

We reconsider the gauge symmetries of the spinning particle by a direct examination of the Lagrangian using a systematic procedure based on the Noether identities. It proves possible to find a set of local Bosonic and Fermionic gauge…

High Energy Physics - Theory · Physics 2015-06-15 N. Kiriushcheva , S. V. Kuzmin , D. G. C. McKeon

We generalize the unconstrained description of free massless higher spin fields previously developed in [Nucl.Phys. B 779 (2007) 155] to the case of free massive higher spin fields in a flat space of arbitrary dimension. The Lagrangian is…

High Energy Physics - Theory · Physics 2010-02-03 I. L. Buchbinder , A. V. Galajinsky

Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between…

High Energy Physics - Theory · Physics 2022-10-05 R. R. Metsaev

In two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing…

High Energy Physics - Theory · Physics 2015-06-19 Philip Schuster , Natalia Toro

We show that the Wigner equations describing the continuous spin representations can be obtained as a limit of massive higher-spin field equations. The limit involves a suitable scaling of the wave function, the mass going to zero and the…

High Energy Physics - Theory · Physics 2009-11-11 X. Bekaert , J. Mourad

I review recent work on massive higher (s>1) spins in constant curvature (deSitter) spaces. Some of the novel properties that emerge are: partial masslessness and new local gauge invariances, unitarily forbidden ranges of mass, correlation…

General Relativity and Quantum Cosmology · Physics 2009-11-19 S. Deser

Here we show that in arbitrary dimensions $D\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero…

High Energy Physics - Theory · Physics 2015-06-22 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

The classical spinning particles are considered such that quantization of classical model leads to an irreducible massive representation of the Poincar\'e group. The class of gauge equivalent classical particle world lines is shown to form…

High Energy Physics - Theory · Physics 2017-11-29 D. S. Kaparulin , S. L. Lyakhovich

Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1} \times CP^3$. The action functional of the model is unambiguously determined by the requirement of identical…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the…

High Energy Physics - Theory · Physics 2022-09-07 Xavier Bekaert

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We study the formulation of massless higher-spin gravity on AdS$_3$ in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be…

High Energy Physics - Theory · Physics 2018-04-04 Andrea Campoleoni , Stefan Fredenhagen , Joris Raeymaekers

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 extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the spacetime…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Fedoruk , Andrzej Frydryszak , Jerzy Lukierski , Cèsar Miquel-Espanya

We suggest a new spin-4 self-dual model (parity singlet) and a new spin-4 parity doublet in $D=2+1$. They are of higher order in derivatives and are described by a totally symmetric rank-4 tensor without extra auxiliary fields. Despite the…

High Energy Physics - Theory · Physics 2021-11-10 D. Dalmazi , A. L. R. dos Santos
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