Higher-spin gravity as a theory on a fixed (anti) de Sitter background
Abstract
We study Vasiliev's higher-spin gravity in 3+1d. We formulate the theory in the so-called compensator formalism, where the local isometry group SO(4,1) is reduced to the Lorentz group SO(3,1) by a choice of spacelike direction in an internal 4+1d space. We present a consistent extension of Vasiliev's equations that allows this internal direction to become spacetime-dependent. This allows a new point of view on the theory, where spacetime is identified with the de Sitter space of possible internal directions. We thus obtain an interacting theory of higher-spin massless gauge fields on a fixed, maximally symmetric background spacetime. We expect implications for the physical interpretation of higher-spin gravity, for the search for a Lagrangian formulation and/or quantization, as well as for higher-spin holography.
Cite
@article{arxiv.1502.06685,
title = {Higher-spin gravity as a theory on a fixed (anti) de Sitter background},
author = {Yasha Neiman},
journal= {arXiv preprint arXiv:1502.06685},
year = {2017}
}
Comments
17 pages + 3 pages of appendix; v2: generalized to include the full interaction ambiguity, added explicit analysis of the equations' consistency; v3: standardized normalization conventions between papers; v4: expanded the comparison with the standard Vasiliev equations by presenting an intermediate formulation