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Related papers: Twistors and the massive spinning particle

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We examine the question of scale versus conformal invariance on maximally symmetric curved backgrounds and study general 2-derivative conformally invariant free theories of vectors and tensors. For spacetime dimension $D>4$, these conformal…

High Energy Physics - Theory · Physics 2024-08-15 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

We construct general Wigner rotations for both massive and massless particles in $D$-dimensional spacetime. We work out the explicit expressions of these Wigner rotations for arbitrary Lorentz transformations. We study the relation between…

High Energy Physics - Theory · Physics 2017-12-29 Fa-Min Chen

We consider a massive particle of arbitrary spin and the basis vectors that carry the unitary, irreducible representations of the Poincar\'e group. From the complex coefficients in normalizable superpositions of these basis vectors, we…

Quantum Physics · Physics 2018-04-03 Scott E. Hoffmann

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…

High Energy Physics - Theory · Physics 2009-04-17 Lionel J. Mason , Martin Wolf

In this paper, we show that the mass-shell constraints in the gauged twistor formulation of a massive particle given in [Deguchi and Okano, Phys. Rev. D 93, 045016 (2016) [Erratum 93, 089906(E) (2016)]] are incorporated in an action…

High Energy Physics - Theory · Physics 2025-02-21 Shinichi Deguchi , Satoshi Okano

We review the unified description of massless spinning particles, living in spaces of constant curvature, in the framework of the pseudoclassical approach with a gauged $N$-extended worldline supersymmetry and a local $O(N)$ invariance.

High Energy Physics - Theory · Physics 2007-05-23 S. M. Kuzenko

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

We consider two spacelike separated Dirac particles and construct five invariants under the spinor representations of the local proper orthochronous Lorentz groups. All of the constructed Lorentz invariants are identically zero for product…

Quantum Physics · Physics 2022-03-14 Markus Johansson

The N=2 spinning particle action describes the propagation of antisymmetric tensor fields, including vector fields as a special case. In this paper we study the path integral quantization on a one-dimensional torus of the N=2 spinning…

High Energy Physics - Theory · Physics 2009-11-11 Fiorenzo Bastianelli , Paolo Benincasa , Simone Giombi

The sixteen real coordinates of two-twistor space are transformed by a nonlinear mapping into an enlarged space-time framework. The standard relativistic phase space of coordinates $(X_\mu, P_\mu)$ is supplemented by a six-parameter spin…

High Energy Physics - Theory · Physics 2009-11-10 A. Bette , A. de Azcarraga , J. Lukierski , C. Miquel-Espanya

The manifestly SU(4)xU(1) super-Poincare invariant free-field N=2 twistor- string action for the ten-dimensional Green-Schwarz superstring is quantized using standard BRST methods. Unlike the light-cone and semi-light-cone gauge-fixed…

High Energy Physics - Theory · Physics 2009-10-22 Nathan Berkovits

The structure and the dynamics of massless higher spin fields in various dimensions are reviewed with an emphasis on conformally invariant higher spin fields. We show that in D=3,4,6 and 10 dimensional space-time the conformal higher spin…

High Energy Physics - Theory · Physics 2009-11-11 I. Bandos , X. Bekaert , J. A. de Azcarraga , D. Sorokin , M. Tsulaia

The known Lorentz invariant string field theory for open N=2 strings is combined with a generalization of the twistor description of anti-self-dual (super) Yang-Mills theories. We introduce a Chern-Simons-type Lagrangian containing twistor…

High Energy Physics - Theory · Physics 2009-11-10 Olaf Lechtenfeld , Alexander D. Popov

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 propose a new formulation of the D=11 supermembrane theory that involves commuting spinors (twistor--like variables) and exhibits a manifest $n$--extended world volume supersymmetry $(1\leq n\leq 8)$. This supersymmetry replaces $n$…

High Energy Physics - Theory · Physics 2009-10-22 P. Pasti , M. Tonin

The action for a massless particle in 4D Minkowski space has a worldline time-reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the N-extended superparticle is shown to be anomalous when N…

High Energy Physics - Theory · Physics 2016-10-12 Alex S. Arvanitakis , Luca Mezincescu , Paul K. Townsend

Neutrino oscillation experiments presently suggest that neutrinos have a small but finite mass. If neutrinos are to have mass, there should be a Lorentz frame in which they can be brought to rest. This paper discusses how Wigner's little…

General Physics · Physics 2016-07-21 Y. S. Kim , G. Q. Maguire , M. E. Noz

Interacting AdS_4 higher spin gauge theories with N \geq 1 supersymmetry so far have been formulated as constrained systems of differential forms living in a twistor extension of 4D spacetime. Here we formulate the minimal N=1 theory in…

High Energy Physics - Theory · Physics 2010-04-05 J. Engquist , E. Sezgin , P. Sundell

We investigate the dynamics of a single deformable self-propelled particle which undergoes a spinning motion in a two-dimensional space. Equations of motion are derived from the symmetry argument for three kinds of variables. One is a…

Soft Condensed Matter · Physics 2013-07-09 Mitsusuke Tarama , Takao Ohta

We find that spinning particles with suitable couplings propagating in certain supersymmetric backgrounds of $D=4$, $N=2$ and $D=5$, $N=1$ minimal supergravities are invariant under symmetries generated by the twisted covariant form…

High Energy Physics - Theory · Physics 2021-06-16 G. Papadopoulos , and E. Pérez-Bolaños