On presymplectic structures for massless higher-spin fields

TL;DR

This paper introduces a presymplectic structure for massless higher-spin fields in AdS space, enabling the derivation of conserved currents and gauge-invariant local functionals without relying on a Lagrangian formulation.

Contribution

It proposes a natural presymplectic structure for non-Lagrangian equations of motion of higher-spin fields in AdS space, facilitating conserved current derivation and gauge-invariant functional construction.

Findings

Derived conserved currents from the presymplectic structure.

Constructed gauge-invariant local functionals of fields.

Provided a framework for analyzing higher-spin fields without a Lagrangian.

Abstract

A natural presymplectic structure for non-Lagrangian equations of motion governing the dynamics of free higher-spin fields in four-dimensional anti-de Sitter space is proposed. This presymplectic structure is then used to the derivation of the conserved currents associated with the relativistic invariance and to the construction of local functionals of fields that are gauge invariant on shell.