CFT adapted gauge invariant formulation of massive arbitrary spin fields in AdS

TL;DR

This paper develops a gauge invariant formulation for massive arbitrary spin fields in AdS space, utilizing CFT adaptations, ladder operators, and various gauges, facilitating easier solutions and symmetry realizations.

Contribution

It introduces a novel CFT adapted gauge invariant approach for massive higher-spin fields in AdS, including new Lagrangian representations and gauge fixing methods.

Findings

Ladder operator expressions for mass, curvature, and radial contributions.

Decoupled equations of motion solvable via Bessel functions.

New gauge invariant Lagrangian representations in arbitrary coordinates.

Abstract

Using Poincare parametrization of AdS space, we study massive totally symmetric arbitrary spin fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge symmetries are realized by using Stueckelberg formulation of massive fields. We demonstrate that the mass parameter, curvature and radial coordinate contributions to the gauge transformation and Lagrangian of the AdS massive fields can be expressed in terms of ladder operators. Three representations for the Lagrangian are discussed. Realization of the global AdS symmetries in the conformal algebra basis is obtained. Modified de Donder gauge leading to simple gauge fixed Lagrangian is found. The modified de Donder gauge leads to decoupled equations of motion which can easily be solved in terms of the Bessel function. New simple representation for gauge invariant Lagrangian of massive (A)dS field in arbitrary coordinates is obtained. Light-cone gauge Lagrangian of massive AdS field is also presented.