Continuous-spin mixed-symmetry fields in AdS(5)

TL;DR

This paper develops a light-cone gauge formulation for continuous-spin mixed-symmetry fields in AdS(5), establishing their symmetry realizations, parameter relations, and conditions for irreducibility and unitarity.

Contribution

It introduces a simple action framework for these fields and explores their symmetry properties and parameter constraints in AdS(5).

Findings

Constructed light-cone gauge actions for mixed-symmetry continuous-spin fields.

Derived relations between action parameters and Casimir eigenvalues.

Established conditions for irreducibility and unitarity in AdS(5).

Abstract

Free mixed-symmetry continuous-spin fields propagating in AdS(5) space and flat R(4,1) space are studied. In the framework of a light-cone gauge formulation of relativistic dynamics, we build simple actions for such fields. Realization of relativistic symmetries on space of light-cone gauge mixed-symmetry continuous-spin fields is also found. Interrelations between constant parameters entering the light-cone gauge actions and eigenvalues of the Casimir operators of space-time symmetry algebras are obtained. Using these interrelations and requiring that the field dynamics in AdS(5) be irreducible and classically unitary, we derive restrictions on the constant parameters and eigenvalues of the 2nd-order Casimir operator of the so(4,2) algebra.