Higher-spin charges in Hamiltonian form. I. Bose fields

TL;DR

This paper investigates the calculation of asymptotic charges for massless higher-spin fields in Anti de Sitter space using Hamiltonian formalism, providing detailed analysis for spin-3 and extending to arbitrary spins.

Contribution

It introduces a Hamiltonian approach to compute asymptotic charges for higher-spin fields and proposes boundary conditions ensuring finiteness, extending previous methods to arbitrary spin.

Findings

Derived Hamiltonian form of Fronsdal's action for spin-3

Computed asymptotic charges for higher-spin fields

Proposed boundary conditions for finiteness of charges

Abstract

We study asymptotic charges for symmetric massless higher-spin fields on Anti de Sitter backgrounds of arbitrary dimension within the canonical formalism. We first analyse in detail the spin-3 example: we cast Fronsdal's action in Hamiltonian form, we derive the charges and we propose boundary conditions on the canonical variables that secure their finiteness. We then extend the computation of charges and the characterisation of boundary conditions to arbitrary spin.