Twistorial and space-time descriptions of massless infinite spin (super)particles and fields

Buchbinder, I.L. (Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634041, Russia) (National Research Tomsk State University, Tomsk, 634050, Russia) ; Fedoruk, S. (Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Moscow Region, Dubna, 141980, Russia) ; Isaev, A.P. (Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Moscow Region, Dubna, 141980, Russia) (Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia) (Dubna State University, Moscow Region, Dubna, 141982, Russia)

19 June 2019

Abstract: We develop a new twistorial field formulation of a massless infinite spin particle. Unlike our previous approach arXiv:1805.09706 , the quantization of such a world-line infinite spin particle model is carried without any gauge fixing. As a result, we construct a twistorial infinite spin field and derive its helicity decomposition. Using the field twistor transform, we construct the space-time infinite (continuous) spin field, which depends on the coordinate four-vector and additional commuting Weyl spinor. The equations of motion for infinite spin fields in the cases of integer and half-integer helicities are derived. We show that the infinite integer-spin field and infinite half-integer-spin field form the N=1 infinite spin supermultiplet. The corresponding supersymmetry transformations are formulated and their on-shell algebra is derived. As a result, we find the field realization of the infinite spin N=1 supersymmetry.


Published in: Nuclear Physics B 945 (2019) DOI: 10.1016/j.nuclphysb.2019.114660
License: CC-BY-3.0



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