Self-dual massive gravity

Aragone, C.; Khoudeir, A.

doi:10.1016/0370-2693(86)90234-0

Cited by 57 publications

(99 citation statements)

References 5 publications

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“…The equivalence among all those models can be proved by means of a master action approach [20]; see [19,21], which also furnishes a dual map e μν → e * μν responsible for the equivalence of correlation functions of e μν in the SD1 model with correlation functions of e * μν in the higher-order SDn models. All SDn models can be written in a compact way 3 like the first-order model of Aragone and Khoudeir [24], which was the first one to be suggested, namely…”

Section: Wtdiff Self-dual Models (Parity Singlets)mentioning

confidence: 99%

Weyl and transverse diffeomorphism invariant spin-2 models in $$D=2+1$$ D = 2 + 1

et al. 2017

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There are two covariant descriptions of massless spin-2 particles in D = 3 + 1 via a symmetric rank-2 tensor: the linearized Einstein-Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH theory one can obtain the linearized new massive gravity (NMG) in D = 2 + 1 via Kaluza-Klein dimensional reduction followed by a dual master action. Here we show that a similar route takes us from the WTDIFF model to a linearized scalar-tensor NMG which belongs to a larger class of consistent spin-0 modifications of NMG. We also show that a traceless master action applied to a parity singlet furnishes two new spin-2 self-dual models. Moreover, we examine the singular replacement h μν → h μν − η μν h/D and prove that it leads to consistent massive spin-2 models in D = 2 + 1. They include linearized versions of unimodular topologically massive gravity (TMG) and unimodular NMG. Although the free part of those unimodular theories are Weyl invariant, we do not expect any improvement in the renormalizability. Both the linearized K-term (in NMG) and the linearized gravitational Chern-Simons term (in TMG) are invariant under longitudinal reparametrizations δh μν = ∂ μ ∂ ν ζ , which is not a symmetry of the WTDIFF Einstein-Hilbert term. Therefore, we still have one degree of freedom whose propagator behaves like 1/ p 2 for large momentum.

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Section: Wtdiff Self-dual Models (Parity Singlets)mentioning

confidence: 99%

Weyl and transverse diffeomorphism invariant spin-2 models in $$D=2+1$$ D = 2 + 1

et al. 2017

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“…As a result, the parameter m coincides with the rest mass while from (17) it follows that the field h N µ has a spin ξ(N + 2)/2. Thus it is shown that the action (6) with the parameters (12) describes a spin ξ(N + 2)/2 irreducible representation of the Poincare group in 2+1 dimensions.…”

Section: Boson Fieldsmentioning

confidence: 85%

“…So far the actions for irreducible massive fields in (2+1)-dimensional space with spins s = 1 [12,13,14], s = 3/2 [15,16], s = 2 [14,17] and s=5/2 [18,19] have been constructed. The formalism which we apply in this paper for the Lagrangian description of arbitrary irreducible representations of (2+1)-dimensional Poincare group is related to the reduction to 2+1 dimensions of the vierbein-type variables introduced for the description of massless fields of an arbitrary integer [8] and half-integer [8,9] spin in 3+1 dimensions.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian formulation of irreducible massive fields of arbitrary spin in (2+1) dimensions

Vasiliev

Tyutin

1997

Theor Math Phys

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“…Some of the ideas presented here may be extended to the self-dual, second order [35], topologically massive [1] and fourth order [3,4] three dimensional massive gravity models which share a part of the structure of the vector models and also display duality relations.…”

Section: Discussionmentioning

confidence: 99%

A Nonlocal Unitary Vector Model in Three Dimensions

Khoudeir

Stephany

2011

Int. J. Mod. Phys. A

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We present a unified analysis of single excitation vector models in 3D. We show that there is a family of first order master actions related by duality transformations which interpolate between the different models. We use a Hamiltonian (2+1) analysis to show the equivalence of the selfdual and topologically massive models with a covariant non local model which propagates also a single massive excitation. It is shown how the non local terms appears naturally in the path integral framework.

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Self-dual massive gravity

Cited by 57 publications

References 5 publications

Weyl and transverse diffeomorphism invariant spin-2 models in $$D=2+1$$ D = 2 + 1

Weyl and transverse diffeomorphism invariant spin-2 models in $$D=2+1$$ D = 2 + 1

Lagrangian formulation of irreducible massive fields of arbitrary spin in (2+1) dimensions

A Nonlocal Unitary Vector Model in Three Dimensions

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