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Эта публикация цитируется в 16 научных статьях (всего в 16 статьях)
On gravitational interactions for massive higher spins in $\mathrm{AdS_3}$
I. L. Buchbindera, T. V. Snegireva, Yu. M. Zinovievb a Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634061, Russia
b Institute for High Energy Physics, Protvino, Moscow Region 142280, Russia
Аннотация:
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 AdS3 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.
Поступила в редакцию: 27.07.2012 Исправленный вариант: 21.12.2012
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https://www.mathnet.ru/rus/jpha15
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