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High Energy Physics - Theory, hep-th
Abstract:
We present a unified analysis of the self-dual, second order, topologically
massive and the recently introduced fourth order models of massive gravity in
3D. We show that there is a family of first order actions which interpolate
between these different single excitation models. We show how the master
actions are related by duality transformation. We construct by the same method
the master action which relates the fourth order new massive model with two
excitations and the usual second order model with Fierz-Pauli mass. We show
that the more general model obtained by adding a Chern-Simons term to the new
massive model is equivalent off shell to the second order spontaneously broken
linearized massive gravity.