Diffeomorphisms and holographic anomalies

Imbimbo, Camillo; Schwimmer, A.; Theisen, Stefan; Yankielowicz, Shimon

doi:10.1088/0264-9381/17/5/322

Cited by 260 publications

(458 citation statements)

References 12 publications

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“…where (1) g and (2) g are the solutions of the PBH equations presented in [5]. We remark that (2) g has two free parameters c 1 , c 2 which reflects the fact that there are two symmetric tensors with four derivatives built from (0) g ij which transform homogenously with weight two.…”

Section: The Solution Of the Pbh Equations For (3) Gmentioning

confidence: 99%

“…From [5] we know that the normalization of the type A anomaly in d = 2n dimensions is 4n 2 2n (n!) 2 where the factor 4n = 2d is R − 2Λ evaluated on AdS 2d+1 .…”

Section: Anomalies For the General Quadratic Actionmentioning

confidence: 99%

“…Since the PBH transformations play an essential rôle, we will briefly review them; more details can be found in [5].…”

Section: Appendix: Pbh Transformationsmentioning

confidence: 99%

“…They are parameterized by a scalar function σ(x) and change g ij (x, ρ) as [5] δg ij (x, ρ) = 2σ(1 − ρ∂ ρ )g ij (x, ρ) + ∇ i a j (x, ρ) + ∇ j a i (x, ρ) (A.2)…”

Section: Appendix: Pbh Transformationsmentioning

confidence: 99%

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Universal features of holographic anomalies

Schwimmer

Theisen

2003

J. High Energy Phys.

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We study the mechanism by which gravitational actions reproduce the trace anomalies of the holographically related conformal field theories. Two universal features emerge: a) the ratios of type B trace anomalies in any even dimension are independent of the gravitational action being uniquely determined by the underlying algebraic structure b) the normalization of the type A and the overall normalization of the type B anomalies are given by action dependent expressions with the dimension dependence completely fixed.

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Section: The Solution Of the Pbh Equations For (3) Gmentioning

confidence: 99%

“…From [5] we know that the normalization of the type A anomaly in d = 2n dimensions is 4n 2 2n (n!) 2 where the factor 4n = 2d is R − 2Λ evaluated on AdS 2d+1 .…”

Section: Anomalies For the General Quadratic Actionmentioning

confidence: 99%

“…Since the PBH transformations play an essential rôle, we will briefly review them; more details can be found in [5].…”

Section: Appendix: Pbh Transformationsmentioning

confidence: 99%

“…They are parameterized by a scalar function σ(x) and change g ij (x, ρ) as [5] δg ij (x, ρ) = 2σ(1 − ρ∂ ρ )g ij (x, ρ) + ∇ i a j (x, ρ) + ∇ j a i (x, ρ) (A.2)…”

Section: Appendix: Pbh Transformationsmentioning

confidence: 99%

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Universal features of holographic anomalies

Schwimmer

Theisen

2003

J. High Energy Phys.

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“…A new proof of a universal relation for the type A bulk trace anomaly [10] using the approach of Section 3 is presented in Appendix A.…”

Section: Introductionmentioning

confidence: 99%

Entanglement entropy, trace anomalies and holography

2008

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The holographic representation of the entanglement entropy of four-dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the holographic representation are calculated by a method which does not require the solution of the equations of motion or a cut-off. The two calculations disagree for rather generic geometries. The reasons for the disagreement are analyzed.

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de Sitter Versus Anti‐de Sitter in Horndeski‐Like Gravity

Santos,

Pourhassan,

Saridakis

2024

Fortschritte der Physik

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The general solutions of Horndeski‐like gravity that can interpolate between the de Sitter and anti‐de Sitter regimes are presented. In particular, the first‐order formalism with two scalar fields is developed, and considering a black hole ansatz with flat slicing, three different cases, namely exponential, vacuum, and smooth superpotential solutions, with no Minkowski extrema are investigated. Furthermore, these solutions show that a Renormalization Group flow is established, and a turnaround in the warp factor is obtained, where the transition is bounded by the area low. The ideal regimes to trap gravity, which are constructed using the holographic function, which provides stable and unstable regimes to localize gravity are discussed. Finally, it is shown that no ghost appear and that the matter sector that violates the c‐theorem is physical.

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Diffeomorphisms and holographic anomalies

Cited by 260 publications

References 12 publications

Universal features of holographic anomalies

Universal features of holographic anomalies

Entanglement entropy, trace anomalies and holography

de Sitter Versus Anti‐de Sitter in Horndeski‐Like Gravity

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