Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-10
JHEP 0804:101,2008
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, uses youngtab.sty, v2: minor changes, references added
Scientific paper
10.1088/1126-6708/2008/04/101
We give a systematic account of unconstrained free bosonic higher-spin fields on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism. The generalized spin connections are determined by solving a chain of torsion-like constraints. Via a generalization of the vielbein postulate these allow to determine higher-spin Christoffel symbols, whose relation to the de Wit--Freedman connections is discussed. We prove that the generalized Einstein equations, despite being of higher-derivative order, give rise to the AdS Fronsdal equations in the compensator formulation. To this end we derive Damour-Deser identities for arbitrary spin on AdS. Finally we discuss the possibility of a geometrical and local action principle, which is manifestly invariant under unconstrained higher-spin symmetries.
Engquist Johan
Hohm Olaf
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