The Goldstone fields of interacting higher spin field theory on AdS(4)

TL;DR

This paper explores the structure of higher spin fields in AdS(4) and their correspondence with boundary conformal field theories, focusing on Goldstone fields and their properties in the context of the critical O(N) sigma model.

Contribution

It identifies the Goldstone fields in higher spin AdS(4) theory as quasiprimary fields related to boundary tensor currents, extending the understanding of gauge fixing and field properties.

Findings

Goldstone fields correspond to odd rank symmetric tensor currents.

Traceless higher spin fields are quasiprimary under de Donder's gauge.

Goldstone fields vanish in the free field limit.

Abstract

A higher spin field theory on AdS(4) possesses a conformal field theory on the boundary R(3) which can be identified with the critical O(N) sigma model of O(N) invariant fields only. The notions of quasiprimary and secondary fields can be carried over to the AdS theory. If de Donder's gauge is applied, the traceless part of the higher spin field on AdS(4) is quasiprimary and the Goldstone fields are quasiprimary fields to leading order, too. Those fields corresponding to the Goldstone fields in the critical O(N) sigma model are odd rank symmetric tensor currents which vanish in the free field limit.