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

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 de...

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Bibliographic Details
Published in:Nuclear Physics B
Main Authors: I.L. Buchbinder, S. Fedoruk, A.P. Isaev
Format: Article
Language:English
Published: Elsevier 2019-08-01
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319301464
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Summary: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.
ISSN:0550-3213