Hyper-Hermitian Weyl double copy

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
E. Chacón, H. García-Compeán, G. Robles
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引用次数: 0

Abstract

Recently the Kerr-Schild double copy of gravitational and gauge fields has been studied at the level of equations of motion: the so called classical double copy. In previous work the self-dual double copy has been generalized from the hyper-Kähler case to the hyper-Hermitian one by replacing the kinematic algebra consisting in the area-preserving diffeomorphism algebra by the diffeomorphisms on a surface algebra. This leads to the hyper-Hermitian double copy in the Kerr-Schild approach. In the present article, we further study the hyper-Hermitian case using the Weyl double copy formalism. In particular, we have found new solutions within this formalism for a family of hyper-Hermitian metrics termed elementary states in the literature. One of the main features of the approach is that the single copy will contain two Maxwell spinors, one of them is source-free, while the other has a source current. In the process it is argued that this result is compatible with the fact that, in general, the hyper-Hermitian spaces are not Ricci-flat.

超厄米Weyl双副本
最近在运动方程的水平上研究了引力场和规范场的克尔-柴尔德双副本:即所谓的经典双副本。在以前的工作中,通过用曲面代数上的微分同构取代保面积微分同构中的运动代数,将自对偶双复制从hyper-Kähler推广到超厄密情况。这就导致了Kerr-Schild方法中的超厄米双复制。在本文中,我们使用Weyl双复制形式进一步研究了超厄米情况。特别地,我们在这种形式中找到了一组超厄米度量的新解,这些度量在文献中被称为基本态。该方法的主要特点之一是,单个副本将包含两个麦克斯韦旋量,其中一个是无源的,而另一个有源电流。在这个过程中,我们论证了这个结果与一般情况下超厄米空间不是里奇平坦的事实是相容的。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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