https://doi.org/10.1140/epjc/s10052-025-13999-0
Regular Article - Theoretical Physics
Electromagnetic interactions of massive higher-spin fields in 3D via chiral theory
1
Physics Faculty, Tomsk State University, Lenin Ave. 36, 634050, Tomsk, Russia
2
Service de Physique de l’Univers, Champs et Gravitation, Université de Mons, 20 place du Parc, 7000, Mons, Belgium
Received:
27
December
2024
Accepted:
21
February
2025
Published online:
10
March
2025
We address the issue of electromagnetic interaction for massive higher-spin fields in three-dimensional Minkowski space. We show that consistent field equations can be obtained through the dimensional reduction of the higher-spin extension of self-dual Yang–Mills theory, which itself is a truncation of chiral higher-spin gravity in four dimensions. The resulting electromagnetic field satisfies the Bogomolny equation, and the interaction is non-minimal with the gyromagnetic ratio given by 
, where s is the spin. As a by-product, we obtain a new Lagrangian for free massive higher-spin fields in 3d.
Evgeny Skvortsov: Research Associate of the Fund for Scientific Research-FNRS, Belgium. Also at Lebedev Institute of Physics.
© The Author(s) 2025
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