Abstract
The analysis of the relation between modular P1CT-symmetry—a consequence of the Unruh effect—and Pauli’s spin-statistics relation is continued. The result in the predecessor to this article is extended to the Lorentz symmetric situation. A model G L of the universal covering \(\widetilde{L_+^\uparrow}\cong SL(2,\mathbb{C})\) of the restricted Lorentz group \(L_+^\uparrow\) is modelled as a reflection group at the classical level. Based on this picture, a representation of G L is constructed from pairs of modular P1CT-conjugations, and this representation can easily be verified to satisfy the spin-statistics relation.
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Communicated by Y. Kawahigashi.
Dedicated to Professor H.-J. Borchers on the occasion of his 80th birthday
Emmy-Noether fellow of the Deutsche Forschungsgemeinschaft
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Kuckert, B., Lorenzen, R. Spin, Statistics, and Reflections II. Lorentz Invariance. Commun. Math. Phys. 269, 809–831 (2007). https://doi.org/10.1007/s00220-006-0146-6
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DOI: https://doi.org/10.1007/s00220-006-0146-6