Note on linearized “new massive gravity” in arbitrary dimensions

Dalmazi, D.; Santos, R. C.

doi:10.1103/physrevd.87.085021

Cited by 13 publications

(48 citation statements)

References 34 publications

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“…They confirm the results of Refs. [14][15][16] regarding the existence of other ghost-free second-order models different from the FP theory, contrary to early works [9][10][11][12][13].…”

Section: Discussioncontrasting

confidence: 39%

“…In the next sections the results of Ref. [16] are confirmed in a rather simple way and the connection between the new models and the symmetric FP theory is clarified by means of interpolating master actions [17].…”

Section: Introductionmentioning

confidence: 66%

“…1=4; see Ref. [16]. At a 1 ¼ 1=4 the family L a 1 becomes the massive FP theory with d À ¼1, while at a 1 ¼ À1=12 it becomes L nFP ðc ¼ À1Þ.…”

Section: Three Familiesmentioning

confidence: 99%

“…In Refs. [14,15] other possibilities were found, which have motivated our previous work [16] where we revisited the classification of all possible (second-order) descriptions of a massive spin-2 particle in D ¼ 3 þ 1. We conclude that there are three ghost-free one-parameter families of solutions.…”

Section: Introductionmentioning

confidence: 99%

“…[16] we considered a general Lorentz-covariant second-order quadratic action for a rank-2 tensor e with ten arbitrary real constants. Requiring that the propagator contains only one massive pole in the spin-2 sector, with positive residue (no ghost), we have obtained, up to the field redefinitions e !…”

Section: Three Familiesmentioning

confidence: 99%

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Note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

Dalmazi

2013

Phys. Rev. D

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It is possible to show that there are three independent families of models describing a massive spin-2 particle via a rank-2 tensor. One of them contains the massive Fierz-Pauli model, the only case described by a symmetric tensor. The three families have different local symmetries in the massless limit and can not be interconnected by any local field redefinition. We show here, however, that they can be related with the help of a decoupled and nondynamic (spectator) field. The spectator field may be either an antisymmetric tensor B ¼ ÀB , a vector A or a scalar field ', corresponding to each of the three families. The addition of the extra field allows us to formulate master actions which interpolate between the symmetric Fierz-Pauli theory and the other models. We argue that massive gravity models based on the Fierz-Pauli theory are not expected to be equivalent to possible local self-interacting theories built up on top of the two new families of massive spin-2 models. The approach used here may be useful to investigate dual (nonsymmetric) formulations of higher-spin particles.

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“…They confirm the results of Refs. [14][15][16] regarding the existence of other ghost-free second-order models different from the FP theory, contrary to early works [9][10][11][12][13].…”

Section: Discussioncontrasting

confidence: 39%

Section: Introductionmentioning

confidence: 66%

“…1=4; see Ref. [16]. At a 1 ¼ 1=4 the family L a 1 becomes the massive FP theory with d À ¼1, while at a 1 ¼ À1=12 it becomes L nFP ðc ¼ À1Þ.…”

Section: Three Familiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Three Familiesmentioning

confidence: 99%

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Note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

Dalmazi

2013

Phys. Rev. D

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Weyl action of two-column mixed-symmetry field and its factorization around (A)dS space

Joung

Mkrtchyan

2016

J. High Energ. Phys.

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Abstract:We investigate the four-derivative free Weyl action for two-column mixedsymmetry field that makes use of maximal gauge symmetries. In flat space, the action can be uniquely determined from gauge and Weyl (trace shift) symmetry requirements. We show that there is a smooth and unique deformation of the flat action to (A)dS which keeps the same amount of gauge symmetries. This action admits a factorization into two distinct two-derivative actions having gauge parameters of different Young diagrams. Hence, this factorization pattern naturally extends that of the Weyl actions of symmetric higher spin fields to mixed-symmetry cases. The mass-deformation for these actions can be realized preserving one of the gauge symmetries. Although generically non-unitary, in special dimensions, unitarity is achieved selecting different mass deformations for dS and AdS. We consider particular examples of our construction such as New Massive Gravity in three dimensions, linearized bigravity in four dimensions and their arbitrary dimensional generalizations.

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Massive spin-2 particles via embedment of the Fierz–Pauli equations of motion

Dalmazi

Santos

Mendonça

2014

Class. Quantum Grav.

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Here we obtain alternative descriptions of massive spin-2 particles by an embedding procedure of the Fierz-Pauli equations of motion. All models are free of ghosts at quadratic level although most of them are of higher order in derivatives. The models that we obtain can be nonlinearly completed in terms of a dynamic and a fixed metric. They include some f (R) massive gravities recently considered in the literature. In some cases there is an infrared (no derivative) modification of the Fierz-Pauli mass term altogether with higher order terms in derivatives. The analytic structure of the propagator of the corresponding free theories is not affected by the extra terms in the action as compared to the usual second order Fierz-Pauli theory. * Although we use in this work mostly a symmetric tensor h µν = h νµ , it is convenient for the introduction of the embedding idea to recall some results of the works [22,23] where a generic nonsymmetric tensor e µν = h µν + B µν , with B µν = −B νµ , is employed. The nonsymmetric FP model (NSFP) is given by 1 1 Throughout this work we use η µν = (−, +, · · · , +).

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Note on linearized “new massive gravity” in arbitrary dimensions

Cited by 13 publications

References 34 publications

Note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

Note on the nonuniqueness of the massive Fierz-Pauli theory and spectator fields

Weyl action of two-column mixed-symmetry field and its factorization around (A)dS space

Massive spin-2 particles via embedment of the Fierz–Pauli equations of motion

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