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Related papers: Spin-3/2 Fermions in Twistor Formalism

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Quantum inequalities have been established for various quantum fields in both flat and curved spacetimes. In particular, for spin-3/2 fields, Yu and Wu have explicitly derived quantum inequalities for massive case. Employing the similar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bo Hu , Yi Ling , Hongbao Zhang

We prove that in space-times a velocity field that is shear, vorticity and acceleration-free, if any, is unique up to reflection, with these exceptions: generalized Robertson-Walker space-times whose space sub-manifold is warped, and…

General Relativity and Quantum Cosmology · Physics 2019-10-04 Luca Guido Molinari , Adriano Tacchini , Carlo Alberto Mantica

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

High Energy Physics - Theory · Physics 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

We construct exact analytic solutions for a supersymmetric Chern-Simons theory with matter fields in the adjoint representation (unconventional supersymmetry). The configurations correspond to gravitating spinor fields on BTZ geometries…

High Energy Physics - Theory · Physics 2025-09-04 P. D. Alvarez , J. Ortiz , J. Zanelli

It is well-known that coupling a spin $\frac32$-field to a gravitational or electromagnetic background leads to potential problems both in the classical and in the quantum theory. Various solutions to these problems have been proposed so…

High Energy Physics - Theory · Physics 2014-11-27 Thomas-Paul Hack , Mathias Makedonski

The aim of this paper is to study three dimensional Lorentzian conformal field theories in twistor space. We formulate the conformal Ward identities and solve for two and three point Lorentzian Wightman functions. We found that the Helicity…

High Energy Physics - Theory · Physics 2025-02-27 Aswini Bala , Sachin Jain , Dhruva K. S. , Deep Mazumdar , Vibhor Singh

A complete and explicit classification of all locally constructed conserved currents and underlying conserved tensors is obtained for massless linear symmetric spinor fields of any spin s>0 in four dimensional flat spacetime. These results…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco , Juha Pohjanpelto

The conservation law for the orbital plus spin angular momentum of a free Dirac particle in curved spacetime requires that the affine connection has the antisymmetric part: the torsion tensor, which extends general relativity to the…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Nikodem Popławski

The boundary conditions that exclude zeros of the solutions of the Witten equation (and hence guarantee the existence of a 3-frame satisfying the so-called special orthonormal frame gauge conditions) are investigated. We determine the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Jörg Frauendiener , James M. Nester , László B. Szabados

The variational theory of the perfect fluid with intrinsic spin and dilatonic charge (dilaton-spin fluid) is developed. The spin tensor obeys the classical Frenkel condition. The Lagrangian density of such fluid is stated, and the equations…

General Relativity and Quantum Cosmology · Physics 2009-10-30 O. V. Babourova , B. N. Frolov

We examine zero-form charges in Vasiliev's four-dimensional bosonic higher spin gravities. These are classical observables given by integrals over noncommutative twistor space of adjoint combinations of the zero-form master fields,…

High Energy Physics - Theory · Physics 2015-03-20 Nicolò Colombo , Per Sundell

We prove a large-data semi-global existence theorem and the dynamical formation of trapped surfaces for the Einstein-massless Vlasov system in 3+1 dimensions, without any symmetry assumptions. The analysis critically hinges on a finely…

Analysis of PDEs · Mathematics 2025-10-15 Nikolaos Athanasiou , Puskar Mondal , Shing-Tung Yau

We build the asymptotic higher-spin charges associated with "improper" gauge transformations for fermionic higher-spin gauge fields on Anti de Sitter backgrounds of arbitrary dimension. This is achieved within the canonical formalism. We…

High Energy Physics - Theory · Physics 2017-03-08 Andrea Campoleoni , Marc Henneaux , Sergio Hörtner , Amaury Leonard

We lift the recently proposed theories of higher-spin self-dual Yang-Mills (SDYM) and gravity (SDGR) to the twistor space. We find that the most natural room for the twistor formulation of these theories is not in the projective, but in the…

High Energy Physics - Theory · Physics 2024-09-27 Yannick Herfray , Kirill Krasnov , Evgeny Skvortsov

We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show…

High Energy Physics - Theory · Physics 2012-09-28 Paul de Medeiros

In our previous article [Letsios 2023 J. High Energ. Phys. JHEP05(2023)015], we showed that the strictly massless spin-3/2 field, as well as the strictly and partially massless spin-5/2 fields, on $N$-dimensional ($N \geq 3 $) de Sitter…

High Energy Physics - Theory · Physics 2024-11-21 Vasileios A. Letsios

We discuss the connection between the construction of Bogomol'nyi bounds and equations in three dimensional gravitational theories and the existence of an underlying $N=2$ local supersymmetric structure. We show that, appart from matter…

High Energy Physics - Theory · Physics 2009-10-28 José D. Edelstein , Carlos Núñez , Fidel A. Schaposnik

We reformulate chiral higher-spin Yang-Mills and gravity on $\mathbb{R}^4$ as 'CR-holomorphic' theories of Chern-Simons type; in the most general case, these are Moyal deformed to become non-commutative. They are defined on the space of…

High Energy Physics - Theory · Physics 2025-05-15 Lionel Mason , Atul Sharma

We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer…

High Energy Physics - Theory · Physics 2017-09-13 Tim Adamo , Ricardo Monteiro , Miguel F. Paulos

A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extended to give a classification of all covariant symmetry…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco , Juha Pohjanpelto