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Sergio Hoertner
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Gravitational duality and deformations of action principles for mixed-symmetry tensor fields
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We present a deformation of the action principle
for a free tensor field of mixed symmetry
(2,1) --the Curtright action, a dual formulation
of five-dimensional linearized gravity. It
is constructed as the dual theory of the
Einstein-Hilbert action linearized around
a de Sitter background, and its derivation
relies on the use of the two-potential formalism
as an intermediate step. The resulting action
principle is spatially non-local and space-time
covariance is not manifest, thus overcoming
previous no-go results.
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