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arXiv · 1604.08385

de Sitter symmetry of Neveu-Schwarz spinors

Henri Epstein·Ugo Moschella
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Abstract

We study the relations between Dirac fields living on the 2-dimensional Lorentzian cylinder and the ones living on the double-covering of the 2-dimensional de Sitter manifold, here identified as a certain coset space of the group $SL(2,R)$. We show that there is an extended notion of de Sitter covariance only for Dirac fields having the Neveu-Schwarz anti-periodicity and construct the relevant cocycle. Finally, we show that the de Sitter symmetry is naturally inherited by the Neveu-Schwarz massless Dirac field on the cylinder.

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Henri Epstein, Ugo Moschella. 2016-04-28. de Sitter symmetry of Neveu-Schwarz spinors. https://arxiv.org/abs/1604.08385

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