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A twistor model of a free massless spinning particle in 4-dimensional Minkowski space is studied in terms of spacetime and spinor variables. This model is specified by a simple action, referred to here as the gauged Shirafuji action, that…

高能物理 - 理论 · 物理学 2015-06-17 Shinichi Deguchi , Shouma Negishi , Satoshi Okano , Takafumi Suzuki

A massive rigid particle model in $(3+1)$ dimensions is reformulated in terms of twistors. Beginning with a first-order Lagrangian, we establish a twistor representation of the Lagrangian for a massive particle with rigidity. The twistorial…

高能物理 - 理论 · 物理学 2018-06-04 Shinichi Deguchi , Takafumi Suzuki

The 4-dimensional model of a massless particle with rigidity whose Lagrangian is proportional to its world-line curvature is reformulated in terms of spinor and twistor variables. We begin with a first-order Lagrangian that is equivalent to…

高能物理 - 理论 · 物理学 2015-06-18 Shinichi Deguchi , Takafumi Suzuki

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…

高能物理 - 理论 · 物理学 2025-02-21 Shinichi Deguchi , Satoshi Okano

Gauge-invariant twistor variables are found for the massive spinning particle with N-extended local worldline supersymmetry, in spacetime dimensions D=3,4,6. The twistor action is manifestly Lorentz invariant but the anticommuting spin…

高能物理 - 理论 · 物理学 2016-01-20 Luca Mezincescu , Alasdair J. Routh , Paul K. Townsend

Taking Euclidean signature space-time with its local Spin(4)=SU(2)xSU(2) group of space-time symmetries as fundamental, one can consistently gauge one SU(2) factor to get a chiral spin connection formulation of general relativity, the other…

高能物理 - 理论 · 物理学 2021-10-18 Peter Woit

We present new model of D=4 relativistic massive particle with spin and we describe its quantization. The model is obtained by an extension of standard relativistic phase space description of massive spinless particle by adding new…

高能物理 - 理论 · 物理学 2015-06-19 Sergey Fedoruk , Jerzy Lukierski

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

Spinor and twistor formulations of tensionless bosonic strings in 4-dimensional Minkowski space are constructed. We begin with a first-order action that is equivalent to the Nambu-Goto action in the tensionful case and that leads to a…

高能物理 - 理论 · 物理学 2011-03-14 Shinichi Deguchi , Takeshi Egami , Jun-ichi Note

Linear spinor fields are a generalization of the Dirac field that have direct correspondence with the known physics of fermions, inherent causality properties in their most fundamental constructions, and positive mass eigenvalues for all…

综合物理 · 物理学 2016-04-06 James Lindesay

We propose a new world-line Lagrangian model of the D=4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After…

高能物理 - 理论 · 物理学 2018-08-01 I. L. Buchbinder , S. Fedoruk , A. P. Isaev , A. Rusnak

By noticing the fact that the charged leptons and quarks in the standard model are chirality-based Dirac spinors since their weak interaction violates maximally parity symmetry though they behave as Dirac fermions in electromagnetic…

高能物理 - 理论 · 物理学 2022-12-12 Yue-Liang Wu

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

We reformulate Euclidean general relativity without cosmological constant as an action governing the complex structure of twistor space. Extending Penrose's non-linear graviton construction, we find a correspondence between twistor spaces…

高能物理 - 理论 · 物理学 2021-07-29 Atul Sharma

We rewrite the equations for ten-dimensional supersymmetry in a way formally identical to a necessary and sufficient G-structure system in N=2 gauged supergravity, where all four-dimensional quantities are replaced by combinations of pure…

高能物理 - 理论 · 物理学 2015-06-16 Dario Rosa , Alessandro Tomasiello

The SO(4,2) isometries of AdS_5 are realized non-linearly on its horospherical coordinates (x^m,\rho). On the other hand, Penrose twistors have long been known to linearly realize these symmetries on 4-dimensional Minkowski space, the…

高能物理 - 理论 · 物理学 2011-04-12 Piet Claus , J. Rahmfeld , Yonatan Zunger

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning…

高能物理 - 理论 · 物理学 2018-02-14 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

This is a review of recent developments in the study of perturbative gauge theory and gravity using action functionals on twistor space. It is intended to provide a user-friendly introduction to twistor actions, geared towards researchers…

高能物理 - 理论 · 物理学 2013-10-10 Tim Adamo

We show that the equations of motion for (free) integer higher spin gauge fields can be formulated as twisted self-duality conditions on the higher spin curvatures of the spin-$s$ field and its dual. We focus on the case of four spacetime…

高能物理 - 理论 · 物理学 2018-02-02 Marc Henneaux , Sergio Hörtner , Amaury Leonard

Twistor formulation of massive arbitrary spin particle has been constructed. Twistor space of such particle is formed two twistors and two complex scalars which form together 'bosonic supertwistor'. The formulation is deduced from…

高能物理 - 理论 · 物理学 2007-05-23 S. Fedoruk , V. G. Zima
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