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
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
