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.

de Sitter symmetry of Neveu-Schwarz spinors

MOSCHELLA, UGO
2016-01-01

Abstract

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.
2016
http://link.springer.com/journal/13130
2D Gravity; Field Theories in Lower Dimensions; Integrable Field Theories; Space-Time Symmetries; Nuclear and High Energy Physics
Epstein, Henri; Moschella, Ugo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2059605
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