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arXiv · 1805.09706

Model of massless relativistic particle with continuous spin and its twistorial description

I. L. Buchbinder·S. Fedoruk·A. P. Isaev·A. Rusnak
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Abstract

We propose a new world-line Lagrangian model of the D=4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After the first quantization of the world-line twistorial model, the wave function is defined by an unconstrained function on the two-dimensional complex affine plane. We find the twistor transform that determines the space-time field of the continuous spin particle through the corresponding twistor one, which plays the role of a prepotential. It is shown that this space-time field is an exact solution of the space-time constraints defining the irreducible massless representation of the Poincare group with continuous spin.

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I. L. Buchbinder, S. Fedoruk, A. P. Isaev, A. Rusnak. 2018-07-05. Model of massless relativistic particle with continuous spin and its twistorial description. https://doi.org/10.1007/jhep07(2018)031

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