Электронный каталог

Статья

Astrakhantsev, L.N.
Wigner Continuous-Spin Equations in AdS&sub(D): Bosonic and Fermionic Cases / L.N.Astrakhantsev, A.A.Golubtsova, M.A.Podoinitsyn. – Text : electronic // Physical Review D. – 2026. – Vol. 114, No. 8. – P. 085025. – URL: https://doi.org/10.1103/8r5x-v5jt. – Bibliogr.:101.

We construct Wigner-like equations of motion for symmetric continuous-spin fields in anti–de Sitter space of arbitrary dimension, treating both the bosonic and fermionic cases. We generalize the classical flat-space Wigner constraints for bosonic continuous-spin fields, and for the fermionic case we adopt the equations proposed by Bekaert and Mourad as our starting point. This is achieved by covariantizing the ordinary derivatives and deforming the resulting constraints so that they form a closed algebra. The construction is carried out in a metriclike formalism and yields a system of first-class constraints that define a representation of the 𝔰⁢𝔬⁢(2,𝐷 −1) isometry algebra, realized via the Lie-Lorentz derivative. Using these constraints, we compute the eigenvalues of the quadratic and quartic Casimir operators and compare the obtained values with Metsaev’s classification of continuous-spin representations for both the bosonic and fermionic cases. A crucial algebraic role is played by special operators of the (super)algebra Howe dual to the Lorentz subalgebra 𝔰⁢𝔬⁢(1,𝐷 −1): the 𝔰⁢𝔩⁢(2) Casimir operator in the bosonic case, and the Casimir’s ghost of the 𝔬⁢𝔰⁢𝔭⁢(1|2) superalgebra in the fermionic case. Both objects naturally organize the constraint algebra and ensure its consistency.



ОИЯИ = ОИЯИ (JINR)2026
Спец.(статьи,препринты) = С 323.5 - Теория взаимодействия частиц при высоких энергиях$
Бюллетени = 49/026