2012/08/31 by I. L. Buchbinder, I L Buchbinder, T. V. Snegirev +3 · 3 citations
Physics and Astronomy · Social Sciences · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauge (firearms) #Generalization #Gravitation #International Science and Diplomacy #Massless particle #Minkowski space #Quadratic equation #Spins #Vertex (graph theory) #hep-th
paper · pdf · doi:10.1088/1751-8113/46/21/214015
published as J. Phys. A 46 (2013) 214015 · 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
arxiv created 2012/12/23 · openalex publication_date 2013/05/14 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we investigate gravitational interactions of massive higher spin fields in three dimensional AdS space with arbitrary value of cosmological constant including flat Minkowski space. We use the frame-like gauge description for such massive fields adapted to the three-dimensional case. First, we carefully analyze the procedure of switching on gravitational interactions in the linear approximation in the example of a massive spin-3 field and then proceed with the generalization to the case of an arbitrary integer spin field. As a result we construct a cubic interaction vertex linear in a spin-2 field and quadratic in a higher spin field on the AdS 3 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. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Higher spin theories and holography'.