Continuous-spin mixed-symmetry fields 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.

Comments: 27 pages, v2: Detailed discussion of various properties of mixed-symmetry and totally symmetric continuous-spin fields in Secs.2-4 added

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Cited by in corpus (13)

• BRST approach to Lagrangian construction for bosonic continuous spin field
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Light-cone continuous-spin field in AdS space
• Lagrangian formulation for the infinite spin N=1 supermultiplets in d=4
• Superfield continuous spin equations of motion
• Interactions of Particles with "Continuous Spin" Fields
• Cubic interactions of arbitrary spin fields in 3d flat space
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• On the off-shell superfield Lagrangian formulation of $4D$, $\mathcal{N}=1$ supersymmetric infinite spin theory
• Thermodynamics of Continuous Spin photons
• Character Integral Representation of Zeta function in AdS${}_{d+1}$: I. Derivation of the general formula
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension