Higher-spin gravity as a theory on a fixed (anti) de Sitter background
- 317 Downloads
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.
KeywordsHigher Spin Gravity Higher Spin Symmetry Classical Theories of Gravity
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.