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We extend our topological renormalization scheme for Entanglement Entropy to holographic CFTs of arbitrary odd dimensions in the context of the AdS/CFT correspondence. The procedure consists in adding the Chern form as a boundary term to…

高能物理 - 理论 · 物理学 2018-05-30 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity. It is known that the holographic EE in Lovelock gravity is given by the Jacobson-Myers (JM) functional. As usual, due to the divergent Weyl…

高能物理 - 理论 · 物理学 2021-06-17 Giorgos Anastasiou , Ignacio J. Araya , Robert B. Mann , Rodrigo Olea

We derive a covariant expression for the renormalized holographic entanglement entropy for Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This expression is written as the sum of the bare…

高能物理 - 理论 · 物理学 2021-10-04 Giorgos Anastasiou , Ignacio J. Araya , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the…

高能物理 - 理论 · 物理学 2020-12-02 Giorgos Anastasiou , Olivera Miskovic , Rodrigo Olea , Ioannis Papadimitriou

We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic counterterms. In this prescription, when…

高能物理 - 理论 · 物理学 2020-10-28 Giorgos Anastasiou , Javier Moreno , Rodrigo Olea , David Rivera-Betancour

We exhibit the equivalence between the renormalized volume of asymptotically anti-de Sitter (AAdS) Einstein manifolds in four and six dimensions, and their renormalized Euclidean bulk gravity actions. The action is that of Einstein gravity,…

高能物理 - 理论 · 物理学 2018-09-26 Giorgos Anastasiou , Ignacio J. Araya , Cesar Arias , Rodrigo Olea

The asymptotic analysis for the metric of a generic solution of Einstein-Gauss-Bonnet AdS theory is provided by solving the field equations in the Fefferman-Graham frame. Using standard holographic renormalization, the counterterms that…

高能物理 - 理论 · 物理学 2026-02-09 Giorgos Anastasiou , Ignacio J. Araya , Avik Chakraborty , Cristóbal Corral , Rodrigo Olea

We propose a renormalization scheme for Entanglement Entropy of 3D CFTs with a 4D asymptotically AdS gravity dual in the context of the gauge/gravity correspondence. The procedure consists in adding the Chern form as a boundary term to the…

高能物理 - 理论 · 物理学 2018-05-23 Giorgos Anastasiou , Ignacio J. Araya , Rodrigo Olea

We develop a renormalization method for holographic entanglement entropy based on area renormalization of entangling surfaces. The renormalized entanglement entropy is derived for entangling surfaces in asymptotically locally anti-de Sitter…

高能物理 - 理论 · 物理学 2016-09-21 Marika Taylor , William Woodhead

We implement a universal method for renormalizing AdS gravity actions applicable to arbitrary higher curvature theories in up to five dimensions. The renormalization procedure considers the extrinsic counterterm for Einstein-AdS gravity…

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

高能物理 - 理论 · 物理学 2011-02-22 Robert C. Myers , Aninda Sinha

The addition of Kounterterms to Einstein gravity leads to a finite action for asymptotically anti-de Sitter (AdS) spaces with a conformally flat boundary. In that sense, it provides a partial renormalization for AdS gravity when compared to…

高能物理 - 理论 · 物理学 2026-04-01 Giorgos Anastasiou , Jahaira Bonifacio-Chavez , Olivera Miskovic , Rodrigo Olea

Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.…

高能物理 - 理论 · 物理学 2021-12-28 Marika Taylor , Linus Too

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal…

高能物理 - 理论 · 物理学 2015-11-10 Felix M. Haehl

As an alternative to the Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature K_{ij} that regularize the AdS gravity action. Instead of a…

高能物理 - 理论 · 物理学 2010-10-27 Rodrigo Olea

We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding…

高能物理 - 理论 · 物理学 2009-10-31 Sebastian de Haro , Kostas Skenderis , Sergey N. Solodukhin

We compute holographic entanglement entropy (EE) and the renormalized EE in AdS solitons with gauge potential for various dimensions. The renormalized EE is a cutoff-independent universal component of EE. Via Kaluza-Klein compactification…

高能物理 - 理论 · 物理学 2023-09-28 Mitsutoshi Fujita , Song He , Yuan Sun , Jun Zhang

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

高能物理 - 理论 · 物理学 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

高能物理 - 理论 · 物理学 2011-02-16 Samuel Bilson

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

高能物理 - 理论 · 物理学 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi
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