On gravitational interactions for massive higher spins in $AdS_3$
Abstract
In this paper we investigate gravitational interactions of massive higher spin fields in three dimensional space with arbitrary value of cosmological constant including flat Minkowski space. We use frame-like gauge description for such massive fields adopted to three-dimensional case. At first, we carefully analyze the procedure of switching on gravitational interactions in the linear approximation on the example of massive spin-3 field and then proceed with the generalization to the case of arbitrary integer spin field. As a result we construct a cubic interaction vertex linear in spin-2 field and quadratic in higher spin field on background. As in the massless case the vertex does not contain any higher derivative corrections to the Lagrangian and/or gauge transformations. Thus, even after switching on gravitational interactions, one can freely consider any massless or partially massless limits as well as the flat one.
Cite
@article{arxiv.1208.0183,
title = {On gravitational interactions for massive higher spins in $AdS_3$},
author = {I. L. Buchbinder and T. V. Snegirev and Yu. M. Zinoviev},
journal= {arXiv preprint arXiv:1208.0183},
year = {2015}
}
Comments
21 pages. Some clarifications and 1 new reference added. Version to appear in the J.Phys.A special volume on "Higher Spin Theories and AdS/CFT" edited by Matthias Gaberdiel and Mikhail Vasiliev