Poisson-sigma model for 2D gravity with non-metricity

Adak, Muzaffer; Grumiller, Daniel

doi:10.1088/0264-9381/24/20/f01

Cited by 3 publications

(4 citation statements)

References 27 publications

(74 reference statements)

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“…We are assuming metric compatibility, ω ab = −ω ba = ab ω, but note that all our conclusions generalize to models with non-metricity, since there exists a PSM formulation in that case as well[60].…”

mentioning

confidence: 79%

AdS2 holography is (non-)trivial for (non-)constant dilaton

Grumiller¹,

Salzer²,

Vassilevich³

2015

J. High Energ. Phys.

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Abstract:We study generic two-dimensional dilaton gravity with a Maxwell field and prove its triviality for constant dilaton boundary conditions, despite of the appearance of a Virasoro algebra with non-zero central charge. We do this by calculating the canonical boundary charges, which turn out to be trivial, and by calculating the quantum gravity partition function, which turns out to be unity. We show that none of the following modifications changes our conclusions: looser boundary conditions, non-linear interactions of the Maxwell field with the dilaton, inclusion of higher spin fields, inclusion of generic gauge fields. Finally, we consider specifically the charged Jackiw-Teitelboim model, whose holographic study was pioneered by Hartman and Strominger, and show that it is nontrivial for certain linear dilaton boundary conditions. We calculate the entropy from the Euclidean path integral, using Wald's method and exploiting the chiral Cardy formula. The macroscopic and microscopic results for entropy agree with each other.

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confidence: 79%

AdS2 holography is (non-)trivial for (non-)constant dilaton

Grumiller¹,

Salzer²,

Vassilevich³

2015

J. High Energ. Phys.

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“…In the literature there are works preferring orthonormal frames [5], coordinate frames [7] and neither of the two [11]. In calculations the following identities are useful: where…”

Section: The Decomposition Of the Full Connectionmentioning

confidence: 99%

“…This result gives rise to some troubles in quantization. In the third group, geometry is enlarged to the non-Riemannian geometries [5]- [11].…”

Section: Introductionmentioning

confidence: 99%

Gauge approach to the symmetric teleparallel gravity

Adak

2018

Int. J. Geom. Methods Mod. Phys.

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“…The full interaction vertices from these functions are obtained as 77) where Ξ i is one of the contributions from localized matter according to (1.62)-(1.65) and V ij is-up to eventual constants-the vertex function from (1.70)-(1.76) that describes the interaction between Ξ i and Ξ j . V 1 determines the interaction oḟ…”

Section: Four-point Verticesmentioning

confidence: 99%

Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity

Bergamin¹,

Meyer²

2009

Fundamental Interactions

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was well known for his passion for axial gauges and for the formulation of gravity in terms of Cartan variables. The combination of the two applied to two-dimensional dilaton gravity is the basis of the "Vienna School", which provided numerous significant results over the last seventeen years. In this review we trace the history of this success with particular emphasis on dilaton supergravity. We also present some previously unpublished results on the structure of non-local vertices in quantum dilaton supergravity with non-minimally coupled matter. Historical Introduction Early Attempts to Non-Einsteinian Gravity in 2DThe earliest works by Wolfgang Kummer connected to gravity in two dimensions 1-4 date back to the year 1991, where he realized together with Dominik Schwarz that the Katanaev-Volovich model,2) * Email: bergamin@tph.tuwien.ac.at † Email: meyer@mppmu.mpg.de a Here R abcd are the components of the curvature two-form written with tangent space indices only, T abc are the components of the torsion form, and µ, γ, λ are constants. In the second line, we expressed everything in terms of the Ricci scalar R = R µν µν and the Hodge dual of the torsion form, T a µν = ǫµν τ a .

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Poisson-sigma model for 2D gravity with non-metricity

Cited by 3 publications

References 27 publications

AdS2 holography is (non-)trivial for (non-)constant dilaton

AdS2 holography is (non-)trivial for (non-)constant dilaton

Gauge approach to the symmetric teleparallel gravity

Wolfgang Kummer and the Vienna School of Dilaton (Super-)Gravity

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