Light-front description of infinite spin fields in six-dimensional Minkowski space

I. L. Buchbinder; S. A. Fedoruk; A. P. Isaev

doi:10.1140/epjc/s10052-022-10697-z

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 733
https://doi.org/10.1140/epjc/s10052-022-10697-z

Regular Article - Theoretical Physics

Light-front description of infinite spin fields in six-dimensional Minkowski space

I. L. Buchbinder¹^,2^,3^,4, S. A. Fedoruk⁴^b and A. P. Isaev⁴^,5

¹ Center of Theoretical Physics, Tomsk State Pedagogical University, 634041, Tomsk, Russia
² National Research Tomsk State University, 634050, Tomsk, Russia
³ Lab of Theor. Cosmology, International Center of Gravity and Cosmos, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
⁴ Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia
⁵ Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia

^b fedoruk@theor.jinr.ru

Received: 20 July 2022
Accepted: 10 August 2022
Published online: 22 August 2022

Abstract

We present a new 6D infinite spin field theory in the light-front formulation. The Lorentz-covariant counterparts of these fields depend on 6-vector coordinates and additional spinor variables. Casimir operators in this realization are found. We obtain infinite-spin fields in the light-cone frame which depend on two sets of the $SU (2)$ $\mathrm {SU}(2)$ -harmonic variables. The generators of the 6D Poincaré group and the infinite spin field action in the light-front formulation are presented.

© The Author(s) 2022

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