A lagrangian formulation of high-spin fields coupled to gravity

Al-Saad, A. and Benn, Ian and Tucker, Robin (1987) A lagrangian formulation of high-spin fields coupled to gravity. General Relativity and Gravitation, 19 (11). pp. 1115-1125. ISSN 0001-7701

Abstract

A coupling of high (half-integer) spin fields to gravity is discussed in terms of symmetric tensor-valued spinors for which restrictive integrability constraints are avoided. The theory is generated from a spin-invariant action which provides a means of computing the associated stress tensor. Explicit no-ghost solutions are presented and a covariance of the system under a local conformai isometry group of space-time is pointed out.