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We revisit the problem of consistent free propagation of higher-spin fields in nontrivial backgrounds, focusing on symmetric tensor(-spinor)s. The Fierz-Pauli equations for massive fields in flat space form an involutive system, whose…

High Energy Physics - Theory · Physics 2021-02-24 Rakibur Rahman

In this paper we construct explicit Lagrangian formulation for the massive spin-2 supermultiplets with N = k supersymmetries k = 1,2,3,4. Such multiplets contain 2k particles with spin-3/2, so there must exist N = 2k local supersymmetries…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

We give a solution of the wave equation for massless, or massive spin-2 particles propagating in a gravitational background. The solution is covariant, gauge-invariant and exact to first order in the background gravitational field. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Papini

We study actions for massive bosonic particles of higher spins by dimensionally reducing an action for massless particles. For the latter we take a model with a SO(N) extended local supersymmetry on the worldline, that is known to describe…

High Energy Physics - Theory · Physics 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive…

High Energy Physics - Theory · Physics 2014-11-20 Eric Bergshoeff , Olaf Hohm , Paul Townsend

We present a systematic exposition of the Lagrangian field theory for the massive spin-two field generated in higher-derivative gravity. It has been noticed by various authors that this nonlinear field overcomes the well known inconsistency…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. Magnano , L. M. Sokolowski

In this paper we use a constructive approach based on gauge invariant description of massive high spin particles for investigation of possible interactions of massive spin 2 particle. We work with general case of massive spin 2 particle…

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

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

High Energy Physics - Theory · Physics 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

Incompressibility plays a key role in the geometric description of fractional quantum Hall fluids. It is naturally related to quantum area-preserving diffeomorphisms and the underlying Girvin-MacDonald-Plazman algebra, which gives rise to…

Strongly Correlated Electrons · Physics 2025-01-07 Eric Bergshoeff , Andrea Campoleoni , Giandomenico Palumbo , Patricio Salgado-Rebolledo

Massive gravity in the weak field limit is described by the Fierz-Pauli theory with 5 degrees of freedom in four dimensions. In this theory, we calculate the gravitomagnetic effects (potential energy) between two point-like, spinning…

High Energy Physics - Theory · Physics 2016-02-29 Kezban Tasseten , Bayram Tekin

The linear theory of massive spin-two field in arbitrary curved background is investigated. In flat spacetime, the Fierz-Pauli model is well-known as the unique linear theory describing the massive spin-two field. On the other hand, in…

High Energy Physics - Theory · Physics 2018-10-05 Satoshi Akagi

Using the parent Lagrangian method together with a dimensional reduction from $D$ to $(D-1)$ dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor $T_{A[A_{1}A_{2}...…

High Energy Physics - Theory · Physics 2008-11-26 A. Khoudeir , R. Montemayor , Luis F. Urrutia

The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational…

High Energy Physics - Theory · Physics 2010-01-26 Pio J. Arias , Rolando Gaitan Deveras

Pauli-Fierz approach to description of a massless spin-2 particle is investigated in the framework of 30-component first order relativistic wave equation theory on a curved space-time background. It is shown that additional gauge symmetry…

Mathematical Physics · Physics 2011-09-08 V. M. Red'kov , N. G. Tokarevskaya , V. V. Kisel

We show that Wigner's infinite spin particle classically is described by a reparametrization invariant higher order geometrical Lagrangian. The model exhibit unconventional features like tachyonic behaviour and momenta proportional to…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius , Per Salomonson

We investigate the problems of consistency and causality for the equations of motion describing massive spin two field in external gravitational and massless scalar dilaton fields in arbitrary spacetime dimension. From the field theoretical…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , D. M. Gitman , V. A. Krykhtin , V. D. Pershin

We present two different versions of the consistent theory of massive gravitons in arbitrary spacetimes which are simple enough for practical applications. The theory is described by a non-symmetric rank-2 tensor whose equations of motion…

High Energy Physics - Theory · Physics 2017-12-27 Charles Mazuet , Mikhail S. Volkov

In this paper we consider the issue of massive gravity from a pure field theoretical point of view, as the massive deformation of the gauge theory for a symmetric rank-2 tensor field. We look for the most general massive theory with well…

High Energy Physics - Theory · Physics 2017-06-07 Alberto Blasi , Nicola Maggiore

In this paper, we review classical and quantum field theory of massive non-interacting spin-two fields. We derive the equations of motion and Fierz-Pauli constraints via three different methods: the eigenvalue equations for the Casimir…

High Energy Physics - Theory · Physics 2016-03-23 Adrian Koenigstein , Francesco Giacosa , Dirk H. Rischke

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the…

High Energy Physics - Theory · Physics 2009-11-07 H. Casini , R. Montemayor , Luis F. Urrutia