Eur. Phys. J. C (2014) 74: 3153
https://doi.org/10.1140/epjc/s10052-014-3153-3

Regular Article - Theoretical Physics

Formalism of gauge-invariant curvatures and constructing the cubic vertices for massive spin- field in AdS space

¹ Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk, 634061, Russia
² National Research Tomsk State University, Tomsk, Russia
³ Institute for High Energy Physics, Protvino, Moscow Region, 142280, Russia

^* e-mail: yurii.zinoviev@ihep.ru

Received: 9 June 2014
Accepted: 24 October 2014
Published online: 28 November 2014

Abstract

We study the interaction of a massive spin-3/2 field with electromagnetic and gravitational fields in the four dimensional AdS space and construct the corresponding cubic vertices. The construction is based on a generalization of Fradkin–Vasiliev formalism, developed for massless higher spin fields, to massive fermionic higher spin fields. The main ingredients of this formalism are the gauge-invariant curvatures. We build such curvatures for the massive theory under consideration and show how the cubic vertices are written in their terms.