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The explicit covariant actions and propagators are given for fields describing particles of all spins and masses, in any spacetime dimension. Massive particles are realized as "dimensionally reduced" massless particles. To obtain compact…

高能物理 - 理论 · 物理学 2024-04-23 Lukas W. Lindwasser

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…

高能物理 - 理论 · 物理学 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

Vasiliev equations facilitate globally defined formulations of higher-spin gravity in various correspondence spaces associated with different phases of the theory. In the four-dimensional case this induces a map from a generally covariant…

高能物理 - 理论 · 物理学 2015-05-20 Nicolo Colombo , Per Sundell

A universal description of particles with spins j greater or equal one , transforming in (j,0)+(0,j), is developed by means of representation specific second order differential wave equations without auxiliary conditions and in covariant…

高能物理 - 理论 · 物理学 2016-10-31 Mariana Kirchbach , Victor Miguel Banda Guzman

In general relativity, systems of spinning classical particles are implemented into the canonical formalism of Arnowitt, Deser, and Misner [1]. The implementation is made with the aid of a symmetric stress-energy tensor and not a…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jan Steinhoff , Gerhard Schäfer , Steven Hergt

A new model of relativistic massive particle with arbitrary spin (($m,s$)-particle) is suggested. Configuration space of the model is a product of Minkowski space and two-dimensional sphere, ${\cal M}^6 = {\Bbb R}^{3,1} \times S^2$. The…

高能物理 - 理论 · 物理学 2017-11-30 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

Quasi-conformal actions were introduced in the physics literature as a generalization of the familiar fractional linear action on the upper half plane, to Hermitian symmetric tube domains based on arbitrary Jordan algebras, and further to…

高能物理 - 理论 · 物理学 2009-11-13 Murat Gunaydin , Andrew Neitzke , Oleksandr Pavlyk , Boris Pioline

We consider the twistor description of conformal higher spin theories and give twistor space actions for the self-dual sector of theories with spin greater than two that produce the correct flat space-time spectrum. We identify a ghost-free…

高能物理 - 理论 · 物理学 2017-11-22 Philipp Haehnel , Tristan McLoughlin

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor, thus predicting an infinite set of duality relations among…

高能物理 - 理论 · 物理学 2008-11-26 Itzhak Bars , Bora Orcal

Suppose given a Hamiltonian and holomorphic action of $G=U(2)$ on a compact K\"{a}hler manifold $M$, with nowhere vanishing moment map. Given an integral coadjoint orbit $\mathcal{O}$ for $G$, under transversality assumptions we shall…

辛几何 · 数学 2021-09-07 Roberto Paoletti

The spinor-helicity representations of massive and (partially-)massless particles in four dimensional (Anti-) de Sitter spacetime are studied within the framework of the dual pair correspondence. We show that the dual groups (aka "little…

高能物理 - 理论 · 物理学 2024-01-05 Thomas Basile , Euihun Joung , Karapet Mkrtchyan , Matin Mojaza

We establish a duality between the free massless relativistic particle in d dimensions, the non-relativistic hydrogen atom (1/r potential) in (d-1) space dimensions, and the harmonic oscillator in (d-2) space dimensions with its mass given…

高能物理 - 理论 · 物理学 2016-08-25 Itzhak Bars

We give holomorphic Chern-Simons-like action functionals on supertwistor space for self-dual supergravity theories in four dimensions, dealing with N=0,...,8 supersymmetries, the cases where different parts of the R-symmetry are gauged, and…

高能物理 - 理论 · 物理学 2009-04-17 Lionel J. Mason , Martin Wolf

We consider the motion of spinning test particles with nonzero rest mass in the "pole-dipole" approximation, as described by the Mathisson-Papapetrou-Dixon (MPD) equations, and examine its properties in dependence on the spin supplementary…

广义相对论与量子宇宙学 · 物理学 2015-09-25 O. Semerák , M. Šrámek

Gravitational waves provide us with a new window into our Universe, and have already been used to place strong constrains on the existence of light scalar fields, which are a common feature in many alternative theories of gravity. However,…

广义相对论与量子宇宙学 · 物理学 2021-10-28 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

We derive the Holstein-Primakoff oscillator realization on the coadjoint orbits of the $SU(N+1)$ and $SU(1,N)$ group by treating the coadjoint orbits as a constrained system and performing the symplectic reduction. By using the action-angle…

高能物理 - 理论 · 物理学 2009-10-30 Phillial Oh , Chaiho Rim

The superdiffeomorphisms invariant description of $N$ - extended spinning particle is constructed in the framework of nonlinear realizations approach. The action is universal for all values of $N$ and describes the time evolution of $D+2$…

高能物理 - 理论 · 物理学 2009-11-07 J. Malinsky , V. P. Akulov , N. Abdellatif , A. Pashnev

We construct the action of a relativistic spinning particle from a non-linear realization of a space-time odd vector extension of the Poincar\'e group. For particular values of the parameters appearing in the lagrangian the model has a…

高能物理 - 理论 · 物理学 2014-11-18 Roberto Casalbuoni , Joaquim Gomis , Kiyoshi Kamimura , Giorgio Longhi

The general theoretical ground for the models based on the compact angle coordinates is presented. It is observed that the proper dependence on compact coordinates has to be through the group elements and is achieved most naturally in a…

高能物理 - 理论 · 物理学 2017-03-21 Amir H. Fatollahi

Starting from the classical action for a spin-zero particle in a D-dimensional anti-Sitter (AdS) spacetime, we recover the Breitenlohner-Freedman bound by quantization. For D=4,5,7, and using an Sl(2;K) spinor notation for K=R,C,H, we find…

高能物理 - 理论 · 物理学 2017-04-12 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend