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Journal ArticleDOI

Polynomial formulations and renormalizability in quantum gravity

Stanley Deser, +2 more
- 11 May 1989 - 
- Vol. 222, Iss: 1, pp 61-65
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TLDR
In this article, the authors trace the non-renormalizability of quantum gravity to a mismatch between the symmetries of its quadratic and cubic terms, which makes this ostensibly renormalizable system ill-defined about zero vacuum, and forces the usual expansion of the metric about a background.
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This article is published in Physics Letters B.The article was published on 1989-05-11. It has received 39 citations till now. The article focuses on the topics: Quantum gravity & Asymptotic safety in quantum gravity.

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Boundary conditions and dualities: vector fields in AdS/CFT

TL;DR: In this article, the authors extend this discussion to the case of vector gauge fields in the bulk spacetime using the results of Ishibashi and Wald [hep-th/0402184].
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Comformal higher spin in (2+1) dimensions

TL;DR: The conformal algebra in (2+1) dimensions allows an infinite-dimensional extension as mentioned in this paper, and the Chern-Simons action for this algebra yields a generalisation of conformal gravity which contains an infinite tower of gauge fields of all integer spins greater than two.
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Is topologically massive gravity renormalisable

TL;DR: In this paper, it is shown that topologically massive gravity is the unique local dynamical and unitary gravity model, which is naive power counting renormalisable, and the ultraviolet behavior is established by an unusual parametrisation of the metric.
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Canonical formulations of full nonlinear topologically massive gravity

TL;DR: In this article, first-order forms of the complete nonlinear Einstein plus Chern-Simons third-derivative-order action are exhibited in both metric and dreibein forms.
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Supersymmetry of the three-dimensional Einstein-Hilbert gravity in the Landau gauge

TL;DR: In this article, a supersymmetric algebra for the 3D Einstein-Hilbert gravity with the Chern-Simons action in the Landau gauge has been proposed, where the action either of a cosmological constant or of a topological term is included in the action.
References
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Journal ArticleDOI

Self-interaction and gauge invariance

TL;DR: In this article, a unified closed form derivation of the non-linearities of spinless meson systems is given, where the nonlinearities are determined by the conserved currents associated with the initial (linear) gauge invariance of the first kind.
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Conformal gravity in three dimensions as a gauge theory.

TL;DR: It is shown that conformally invariant gravity in three dimensions is equivalent to the Yang-Mills gauge theory of the conformal group in three dimension, with a Chern-Simons action, which means that conformal gravity is finite and exactly soluble.
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A gravitational first-order action for the bosonic string

TL;DR: In this article, a first-order action for the bosonic string was presented, treating the metric and affine connection as independent variables, where the affine connections were treated as independent independent variables.
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