# Simple recipe for holographic Weyl anomaly

@article{Bugini2016SimpleRF, title={Simple recipe for holographic Weyl anomaly}, author={F. Bugini and Danilo E. D{\'i}az}, journal={Journal of High Energy Physics}, year={2016}, volume={2017}, pages={1-33} }

A bstractWe propose a recipe — arguably the simplest — to compute the holographic type-B Weyl anomaly for general higher-derivative gravity in asymptotically AdS spacetimes. In 5 and 7 dimensions we identify a suitable basis of curvature invariants that allows to read off easily, without any further computation, the Weyl anomaly coefficients of the dual CFT. We tabulate the contributions from quadratic, cubic and quartic purely algebraic curvature invariants and also from terms involving…

## 12 Citations

Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all

- PhysicsJournal of High Energy Physics
- 2019

A bstractThe holographic Weyl anomaly for GJMS operators (or conformal powers of the Laplacian) are obtained in four and six dimensions. In the context of AdS/CFT correspondence, free conformal…

Can we change c in four-dimensional CFTs by exactly marginal deformations?

- Geology
- 2017

A bstractThere is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that a cannot change but…

On the Weyl anomaly of 4D conformal higher spins: a holographic approach

- Physics
- 2017

A bstractWe present a first attempt to derive the full (type-A and type-B) Weyl anomaly of four dimensional conformal higher spin (CHS) fields in a holographic way. We obtain the type-A and type-B…

On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures

- Physics
- 2020

In this paper, the curvature structure of a (2+1)-dimensional black hole in the massive-charged-Born-Infeld gravity is investigated. The metric that we consider is characterized by four degrees of…

Causality and a-theorem Constraints on Ricci Polynomial and Riemann Cubic Gravities

- Mathematics
- 2018

In this paper, we study Einstein gravity extended with Ricci polynomials and derive the constraints on the coupling constants from the considerations of being ghost-free, exhibiting an a-theorem and…

One-loop divergences in 7D Einstein and 6D conformal gravities

- Physics
- 2020

The aim of this note is to unveil a striking equivalence between the one-loop divergences in 7D Einstein and 6D Conformal Gravities. The particular combination of 6D pointwise Weyl invariants of the…

Matching one‐loop divergences in 7D Einstein and 6D Conformal Gravities

- PhysicsAstronomische Nachrichten
- 2019

The aim of this note is to unveil a striking equivalence between the one-loop divergences in 7D Einstein and 6D Conformal Gravities. The particular combination of 6D pointwise Weyl invariants of the…

Holographic
(a,c)
charges and their universal relation in
d=6
from massless higher-order gravities

- PhysicsPhysical Review D
- 2019

Recent studies of holographic properties of massless higher-order gravities, whose linear spectrum contains only the (massless) graviton, yielded some universal relations in d=4 dimensions between…

M ar 2 02 0 ONE-LOOP DIVERGENCES IN 7 D EINSTEIN AND 6 D CONFORMAL GRAVITIES

- Physics
- 2020

The aim of this note is to unveil a striking equivalence between the one-loop divergences in 7D Einstein and 6D Conformal Gravities. The particular combination of 6D pointwise Weyl invariants of the…

N ov 2 01 9 ONE-LOOP DIVERGENCES IN 7 D EINSTEIN AND 6 D CONFORMAL GRAVITIES

- Physics
- 2019

## References

SHOWING 1-10 OF 94 REFERENCES

Supersymmetry Constraints in Holographic Gravities

- Physics
- 2010

Supersymmetric higher derivative gravities define superconformal field theories via the AdS/CFT correspondence. From the boundary theory viewpoint, supersymmetry implies a relation between the…

Determinant and Weyl anomaly of the Dirac operator: a holographic derivation

- Mathematics
- 2012

We present a holographic formula relating functional determinants: the fermion determinant in the one-loop effective action of bulk spinors in an asymptotically locally AdS background and the…

A note on holographic Weyl anomaly and entanglement entropy

- Physics
- 2014

We develop a general approach to simplify the derivation of the holographic Weyl anomaly. As an application, we derive the holographic Weyl anomaly from general higher derivative gravity in…

New modes from higher curvature corrections in holography

- Physics
- 2016

A bstractIn gravitational theories involving higher curvature corrections the metric describes additional degrees of freedom beyond the graviton. Holographic duality maps these to operators in the…

Holographic trace anomaly and local renormalization group

- Physics
- 2015

A bstractThe Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to…

The holographic Weyl anomaly

- PhysicsJournal of High Energy Physics
- 1998

We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity…

Holographic studies of quasi-topological gravity

- Physics
- 2010

Quasi-topological gravity is a new gravitational theory including curvaturecubed interactions and for which exact black hole solutions were constructed. In a holographic framework, classical…

Holographic stress tensor at finite coupling

- Physics
- 2014

A bstractWe calculate one, two and three point functions of the holographic stress tensor for any bulk Lagrangian of the form ℒ(gab, Rabcd, ∇eRabcd). Using the first law of entanglement, a simple…

On holographic Rényi entropy in some modified theories of gravity

- Physics
- 2016

A bstractWe perform a detailed analysis of holographic entanglement Rényi entropy in some modified theories of gravity with four dimensional conformal field theory duals. First, we construct…