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Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe…

High Energy Physics - Phenomenology · Physics 2021-05-06 Yu-Chen Liu , Kazuya Mameda , Xu-Guang Huang

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

On the basis of the correspondence principle between the relativistic moving medium electrodynamics and relativistic quantum field theory the covariant Lagrangian of the electromagnetic field interaction with the polarized spin particles…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Belousova , N. V. Maksimenko

We formulate $R^2$ pure supergravity as a scale invariant theory built only in terms of superfields describing the geometry of curved superspace. The standard supergravity duals are obtained in both "old" and "new" minimal formulations of…

High Energy Physics - Theory · Physics 2015-06-05 Sergio Ferrara , Alex Kehagias , Massimo Porrati

A charged particle in the presence of a magnetic field is studied in the position dependent operator formalism. Instead of a quantum harmonic oscillator, the solution of the resulting Schr\"odinger-like equation is the one for the Morse…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 R. N. Costa Filho , S. F. S. Oliveira , V. Aguiar

We present a new massive spin two field theory which has smooth massless limit based on BRS formalism. Our model contains a parameter a which extendes Fierz-Pauli's mass term. Although redundant scalar ghost exists in our model, physical…

High Energy Physics - Theory · Physics 2007-05-23 Ki-Ichiro Sato

In this work we discuss the cubic interactions for massless spin 3/2 gravitino with massive higher spin supermultiplets using three superblocks (2,3/2), (5/2,2) and (3,5/2) as the first non-trivial examples. We use gauge invariant formalism…

High Energy Physics - Theory · Physics 2024-11-01 YU. M. Zinoviev

In this paper we consider a possibility to construct dual formulation of gravity where the main dynamical field is the Lorentz connection \omega_\mu^{ab} and not that of tetrad e_\mu^a or metric g_\mu\nu. Our approach is based on the usual…

High Energy Physics - Theory · Physics 2009-11-11 Yu. M. Zinoviev

Duality is investigated for higher spin ($s \geq 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where…

High Energy Physics - Theory · Physics 2009-11-10 Nicolas Boulanger , Sandrine Cnockaert , Marc Henneaux

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

We discuss theories of gravity with independent metric (or frame field) and connection, from the point of view of effective field theory. We count the parity-even Lagrangian terms of dimension up to four and give explicit bases for the…

General Relativity and Quantum Cosmology · Physics 2022-03-02 A. Baldazzi , O. Melichev , R. Percacci

In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical…

Classical Physics · Physics 2020-07-03 Markus Lazar , Jakob Leck

In this paper, we use a version of the BF formulation of two-dimensional dilaton gravity that allows to define a gauge theory of the two-dimensional Poincar\'e or Maxwell algebras and several of their higher-spin generalisations, both of…

High Energy Physics - Theory · Physics 2026-04-10 Xavier Bekaert , Michel Pannier

We study recently proposed chiral higher spin theories - cubic theories of interacting massless higher spin fields in four-dimensional flat space. We show that they are naturally associated with gauge algebras, which manifest themselves in…

High Energy Physics - Theory · Physics 2018-01-23 Dmitry Ponomarev

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

We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in $D$-dimensional (anti-)de…

High Energy Physics - Theory · Physics 2024-11-08 Nicolas Boulanger , Sebastian Garcia-Saenz , Songsong Pan , Lucas Traina

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

The Maxwell theory can be written as a first order model with the help of a two-form auxiliary field, such master action allows the proof of duality between $1$-form and $D-3$ forms. Here we show that the replacement of the two-form…

High Energy Physics - Theory · Physics 2022-10-13 D. Dalmazi , F. A. da Silva Barbosa , A. L. R. dos Santos

We study the possible covariant Lagrangians that describe the propagation of pure spin-3/2 particles. We show that, apart from the well-known Rarita-Schwinger Lagrangian, there is another possibility where the field is described by a…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas