Topologically massive gravito-electrodynamics: exact solutions

Moussa, Karim Ait; Clément, Gérard

doi:10.1088/0264-9381/13/8/023

Cited by 14 publications

(24 citation statements)

References 33 publications

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“…1 Note that any solution of our bosonic equations will also solve the field equations of a different model where the vector mass term in the action is replaced by Maxwell kinetic term with appropriate normalization, since the resulting Einstein equation will be the same and the vector field equation will be the derivative of ours. Such bosonic models and their solutions have been considered in [14,15,16].…”

Section: Implications Of An Off-shell Killing Spinormentioning

confidence: 99%

Supersymmetric warped AdS in extended topologically massive supergravity

Deger¹,

Kaya²,

Samtleben³

et al. 2014

Nuclear Physics B

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We determine the most general form of off-shell N = (1, 1) supergravity field configurations in three dimensions by requiring that at least one off-shell Killing spinor exists. We then impose the field equations of the topologically massive off-shell supergravity and find a class of solutions whose properties crucially depend on the norm of the auxiliary vector field. These are spacelike-squashed and timelike-stretched AdS 3 for the spacelike and timelike norms, respectively. At the transition point where the norm vanishes, the solution is null warped AdS 3 . This occurs when the coefficient of the Lorentz-Chern-Simons term is related to the AdS radius by µ = 2. We find that the spacelike-squashed AdS 3 can be modded out by a suitable discrete subgroup of the isometry group, yielding an extremal black hole solution which avoids closed timelike curves. arXiv:1311.4583v2 [hep-th]

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Section: Implications Of An Off-shell Killing Spinormentioning

confidence: 99%

Supersymmetric warped AdS in extended topologically massive supergravity

Deger¹,

Kaya²,

Samtleben³

et al. 2014

Nuclear Physics B

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“…It is unclear how to relate the lowenergy quantum field theoretical amplitudes obtained in this Paper to the classical conical structure of spacetime [5]. Various solutions to the field equations exhibiting such singularity structures have been obtained recently in [23], and it would be interesting to connect these structures with the polymer structures dominating c > 1 string theory.…”

Section: Induced Spin and Phases Of Three-dimensional Quantum Gravitymentioning

confidence: 94%

Liouville dressed weights and renormalization of spin in topologically massive gravity

Kogan¹,

Szabo²

1997

Nuclear Physics B

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We examine the relations between observables in two-and three-dimensional quantum gravity by studying the coupling of topologically massive gravity to matter fields in non-trivial representations of the three-dimensional Lorentz group. We show that the gravitational renormalization of spin up to one-loop order in these theories reproduces the leading orders of the KPZ scaling relations for quantum Liouville theory. We demonstrate that the two-dimensional scaling dimensions can be computed from tree-level Aharonov-Bohm scattering amplitudes between the charged particles in the limit where the three-dimensional theory possesses local conformal invariance. We show how the three-dimensional description defines scale-dependent weights by computing the one-loop order anomalous magnetic moment of fermions in a background electromagnetic field due to the renormalization by topologically massive gravity. We also discuss some aspects concerning the different phases of three-dimensional quantum gravity and argue that the topological ones may be related to the branched polymer phase of twodimensional quantum gravity.

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“…A feature that makes WAdS 3 spaces of particular interest is that these geometries appear as exact solutions of a large variety of models, including string theory [15,16], topologically massive gauge theories [17,18,19,20], higher-derivative theories [21], bi-gravity theories [22], and Einstein gravity non-minimally coupled to matter fields [23]. A minimal setup in which WAdS 3 spaces appear is three-dimensional gravity with no matter fields.…”

Section: Wads 3 Spaces As Gravity Backgroundsmentioning

confidence: 99%

Conserved charges in timelike warpedAdS3spaces

et al. 2015

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We consider the timelike version of Warped Anti-de Sitter space (WAdS), which corresponds to the three-dimensional section of the Gödel solution of four-dimensional cosmological Einstein equations. This geometry presents closed timelike curves (CTCs), which are inherited from its four-dimensional embedding. In three dimensions, this type of solutions can be supported without matter provided the graviton acquires mass. Here, among the different ways to consistently give mass to the graviton in three dimensions, we consider the parity-even model known as New Massive Gravity (NMG). In the bulk of timelike WAdS 3 space, we introduce defects that, from the three-dimensional point of view, represent spinning massive particle-like objects. For this type of sources, we investigate the definition of quasi-local gravitational energy as seen from infinity, far beyond the region where the CTCs appear. We also consider the covariant formalism applied to NMG to compute the mass and the angular momentum of spinning particle-like defects, and compare the result with the one obtained by means of the quasi-local stress-tensor. We apply these methods to special limits in which the WAdS 3 solutions coincide with locally AdS 3 and locally AdS 2 × R spaces. Finally, we make some comments about the asymptotic symmetry algebra of asymptotically WAdS 3 spaces in NMG.

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Topologically massive gravito-electrodynamics: exact solutions

Cited by 14 publications

References 33 publications

Supersymmetric warped AdS in extended topologically massive supergravity

Supersymmetric warped AdS in extended topologically massive supergravity

Liouville dressed weights and renormalization of spin in topologically massive gravity

Conserved charges in timelike warpedAdS3spaces

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