Extended hamiltonian action for arbitrary spin fields in flat and AdS spaces

Abstract

Totally symmetric arbitrary spin massless and massive free fields in flat and AdS spaces and conformal fields in flat space are studied. Extended gauge invariant hamiltonian action for such fields is obtained. The action is constructed out of phase space fields and Lagrange multipliers which are free of algebraic constraints. Gauge transformations of the phase space fields and Lagrange multipliers are derived. Use of the Poincare parametrization of AdS space allows us to treat fields in flat space and AdS space on equal footing.

v3: Typos in formulas (3.22)-(3.26) and (3.48),(3.49) in values of k' corrected

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Cited by in corpus (7)

• Continuous spin gauge field in (A)dS space
• Gauge Theory Formulations for Continuous and Higher Spin Fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Frame-like Lagrangians and presymplectic AKSZ-type sigma models
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• Higher spin fields with reversed spin-statistics relation