Conformal invariant interaction of a scalar field with the higher spin field in AdS_{D}

TL;DR

This paper derives explicit gauge-invariant interactions between scalar and higher even spin fields in AdS space, introducing a generalized Weyl transformation and constructing invariant actions that include couplings across a spectrum of spins.

Contribution

It presents a new explicit form of gauge-invariant interactions in AdS space, including a generalized Weyl transformation and a comprehensive invariant action for scalar and higher spin fields.

Findings

Derived explicit gauge-invariant interactions in AdS space.

Introduced a generalized Weyl transformation for higher spin fields.

Constructed invariant actions coupling scalar and higher spin fields.

Abstract

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the $AdS_{D}$ space is obtained. In the case of general spin $\ell$ a generalized 'Weyl' transformation is proposed and the corresponding 'Weyl' invariant action is constructed. In both cases the invariant actions of the interacting higher even spin gauge field and the scalar field include the whole tower of invariant actions for couplings of the same scalar with all gauge fields of smaller even spin. For the particular value of $\ell=4$ all results are in exact agreement with hep-th/0403241