量子SO(2,1)共形群中的非交换光锥

IF 3.6 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Classical and Quantum Gravity Pub Date : 2024-12-19 DOI:10.1088/1361-6382/ad9a49
Martina Adamo, Angel Ballesteros and Flavio Mercati
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引用次数: 0

摘要

当光锥被构造为SO(2,1)共形群的齐次空间时,出现了不等价泊松齐次结构,在维度上提出了五种新的非交换光锥族。这些非对易光锥在SO(2,1)共形群各自的量子变形作用下保持协方差。我们讨论了SO(2,1)自同构在不等价泊松齐次光锥分类中的作用,以及这种构造的几何方面。分析了新型量子光锥的局域性,并指出其局域性与泊松齐次空间的几何特征密切相关。
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Noncommutative lightcones from quantum SO(2,1) conformal groups
Five new families of noncommutative lightcones in dimensions are presented as quantizations of the inequivalent Poisson homogeneous structures that emerge when the lightcone is constructed as a homogeneous space of the SO(2,1) conformal group. Each of these noncommutative lightcones maintains covariance under the action of the respective quantum deformation of the SO(2,1) conformal group. We discuss the role played by SO(2,1) automorphisms in the classification of inequivalent Poisson homogeneous lightcones, as well as the geometric aspects of this construction. The localization properties of the novel quantum lightcones are analyzed and shown to be deeply connected with the geometric features of the Poisson homogeneous spaces.
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来源期刊
Classical and Quantum Gravity
Classical and Quantum Gravity 物理-天文与天体物理
CiteScore
7.00
自引率
8.60%
发文量
301
审稿时长
2-4 weeks
期刊介绍: Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.
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