A Nonlocal Unitary Vector Model in Three Dimensions

Khoudeir, A.; Stephany, J.

doi:10.1142/s0217751x11054619

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2012

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(2 citation statements)

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“…with ǫ µνρ ∂ ν l ρσ = 0. Substituting (31) into (27), we obtain the master action I 1 [w, h] (4) which interpolates between I 0 and I 2th [h] as discussed in the previous section.…”

Section: Dualitymentioning

confidence: 99%

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Master Actions for Linearized Massive Gravity Models in 3d

Arias

Khoudeir

Stephany

2012

Int. J. Mod. Phys. A

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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.

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Section: Dualitymentioning

confidence: 99%

“…To show the off-shell equivalence of the two systems one could use the (2+1) approach [28,29,30] used in Ref. [31] for the vector case or alternatively construct the master action. In this case to avoid the third order system which was shown to be non-unitary we introduce two new auxiliary field w µν and v µν and consider,…”

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confidence: 99%