六维庞加莱群的螺旋度和无限自旋表示

Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020) Pub Date : 1900-01-01 DOI:10.22323/1.394.0014

M. Podoinitsyn

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引用次数: 0

摘要

研究了六维闵可夫斯基空间中庞加莱格群的无质量不可约表示。我们找到了卡西米尔算子的方便形式，并分析了它们的谱。根据这一分析，我们得出螺旋度表示由两个(半-)整数定义，而无限自旋表示由实参数µ2和一个(半-)整数决定。

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Helicity and infinite spin representations of the Poincare group in 6D

The massless irreducible representations of the Poincaré group in the six-dimensional Minkowski space are investigated. We found convenient forms of the Casimir operators and analyzed their spectra. According to this analysis, we conclude that the helicity representation is deﬁned by two (half-)integer numbers, while the inﬁnite spin representation is determined by the real parameter µ 2 and one (half-)integer number.

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Proceedings of RDP online workshop "Recent Advances in Mathematical Physics" — PoS(Regio2020)

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