scholarly journals Higher-spin initial data in twistor space with complex stargenvalues

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Yihao Yin
Keyword(s):  
Initial Data ◽  
Twistor Space ◽  
Higher Spin

scholarly journals Extending superposed harmonic initial data to higher spin

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Sizheng Ma ◽  
Matthew Giesler ◽  
Mark A. Scheel ◽  
Vijay Varma
Keyword(s):  
Initial Data ◽  
Higher Spin

scholarly journals Twistor constructions for higher-spin extensions of (self-dual) Yang-Mills

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Tung Tran
Keyword(s):  
Twistor Space ◽  
The Self ◽  
Yang Mills ◽  
Penrose Transform ◽  
Flat Background ◽  
Straightforward Generalization ◽  
Higher Spin ◽  
Formula Type

Abstract We present the inverse Penrose transform (the map from spacetime to twistor space) for self-dual Yang-Mills (SDYM) and its higher-spin extensions on a flat background. The twistor action for the higher-spin extension of SDYM (HS-SDYM) is of $$ \mathcal{BF} $$ BF -type. By considering a deformation away from the self-dual sector of HS-SDYM, we discover a new action that describes a higher-spin extension of Yang-Mills theory (HS-YM). The twistor action for HS-YM is a straightforward generalization of the Yang-Mills one.

scholarly journals Conformal higher spin scattering amplitudes from twistor space

2017 ◽  
Vol 2017 (4) ◽  
Author(s):  
Tim Adamo ◽  
Philipp Hähnel ◽  
Tristan McLoughlin
Keyword(s):  
Scattering Amplitudes ◽  
Twistor Space ◽  
Higher Spin ◽  
Spin Scattering

scholarly journals Conformal higher spin theory and twistor space actions

2017 ◽  
Vol 50 (48) ◽  
pp. 485401 ◽  
Author(s):  
Philipp Hähnel ◽  
Tristan McLoughlin
Keyword(s):  
Twistor Space ◽  
Higher Spin ◽  
Higher Spin Theory

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

ON THE EXPERT’S RIGHT TO BE PRESENT AT LEGAL PROCEEDINGS

2016 ◽  
Vol 15 ◽  
pp. 163-171
Author(s):  
M. G. Shcherbakovskiy
Keyword(s):  
Initial Data ◽  
Legal Proceedings ◽  
Reliable Assessment ◽  
Data Acquiring ◽  
Selection Of

The article discusses the reasonsfor an expert to participate in legal proceedings. The gnoseological reason for that consists of the bad quality of materials subject to examination that renders the examination either completely impossible or compromises objective, reasoned and reliable assessment of the findings. The procedural reason consists ofa proscription for an expert to collect evidence himself or herself. The author investigates into the ways of how an expert can participate in legal proceedings. If the defense invites an expert to participate in the proceedings, then it is recommended that his or her involvement should be in the presence of attesting witnesses and recorded in the protocol. In the course of the legal proceedings an expert has the following tasks: adding initial data, acquiring new initial data, understanding the situation of the incident, acquiring new objects to be studied, including samples for examination. An expert’s participation in legal proceedings differs from the participation of a specialist or an examination on the scene of the incident. The author describes the tasks that an expert solves in the course of legal proceedings, the peculiarities ofan investigation experiment practices, the selection of samples for an examination, inspection, interrogation.

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