Weyl gauging of topologically massive gravity

Dengiz, Suat; Kilicarslan, Ercan; Tekin, Bayram

doi:10.1103/physrevd.86.104014

Cited by 16 publications

(30 citation statements)

References 33 publications

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“…In this respect, we are now really sourcing two different currents, which can and indeed do both participate in the boundary Ward identity. From this perspective we are gauging the Weyl symmetry in the boundary [43][44][45][46], although more properly, we should view it as a local background symmetry. Actually, it is the WFG in the bulk that is promoting this Weyl connection to a background configuration in the boundary.…”

Section: Introductionmentioning

confidence: 99%

Weyl connections and their role in holography

Ciambelli

Leigh

2020

Phys. Rev. D

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It is a well known property of holographic theories that diffeomorphism invariance in the bulk spacetime implies Weyl invariance of the dual holographic field theory in the sense that the field theory couples to a conformal class of background metrics. The usual Fefferman-Graham formalism, which provides us with a holographic dictionary between the two theories, breaks explicitly this symmetry by choosing a specific boundary metric and a corresponding specific metric ansatz in the bulk. In this paper, we show that a simple extension of the Fefferman-Graham formalism allows us to sidestep this explicit breaking; one finds that the geometry of the boundary includes an induced metric and an induced connection on the tangent bundle of the boundary that is a Weyl connection (rather than the more familiar Levi-Civita connection uniquely determined by the induced metric). Properly invoking this boundary geometry has far-reaching consequences: the holographic dictionary extends and naturally encodes Weyl-covariant geometrical data, and, most importantly, the Weyl anomaly gains a clearer geometrical interpretation, cohomologically relating two Weyl-transformed volumes. The boundary theory is enhanced due to the presence of the Weyl current, which participates with the stress tensor in the boundary Ward identity.

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Section: Introductionmentioning

confidence: 99%

Weyl connections and their role in holography

Ciambelli

Leigh

2020

Phys. Rev. D

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“…(See [12] for the computation of conserved charges in GMMG. Also, as another interesting completely different modification of TMG in the Standard model gauge theory perspective, see [13] whose asymptotic symmetry structure has recently been studied in [14]. )…”

Section: Introductionmentioning

confidence: 99%

New Chiral Generalized Minimal Massive Gravity

Setare,

Sajadi,

Dengiz

et al. 2021

Preprint

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We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger (CSS) boundary conditions employing a semi-product of a Virasoro and a û(1) Kac-Moody current algebras as the asymptotic symmetry algebra. We calculate the entropy of BTZ black holes via the degeneracy of states belonging to a Warped-CFT. We compute the linearized energy excitations by using the representations of the algebra û(1) × SL(2, R) R and show that energies of excitations are non-negative at (two) chiral points in the parameter space. At these special points, the charge algebra is described by either Virasoro algebra or Kac-Moody algebra. We also consider some special limits of the GMMG theory which correspond to 2 + 1-dimensional massive gravity theories such as new massive and minimal massive gravity theories.

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“…It can be described either by the first-order action[21], or by the second-order (Maxwell-CS) one[4]. For the fields with spin greater than one, there are more than two different actions which describe the propagation of a single massive mode in three dimensions[4][5][6][22][23][24][25][26][27][28][29][30][31][32].…”

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confidence: 99%