From conformal to Einstein gravity

Anastasiou, Giorgos; Olea, Rodrigo

doi:10.1103/physrevd.94.086008

Cited by 69 publications

(78 citation statements)

References 19 publications

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“…Another very attractive feature of the method is its deep connection with geometrical structures: topological invariants in the case of even D [76,78] (in which case the method is alternatively known as topological renormalization), and transgression forms in the case of odd D [79]. Also of interest is the fact that the Kounterterms lead to a renormalized action that makes direct contact with the definition of renormalized volume for AAdS previously studied in the mathematical literature [82], and is intriguingly linked on-shell with critical gravity [83,84] and conformal gravity [85,86].…”

Section: Introductionmentioning

confidence: 99%

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

Anastasiou

Araya

Güijosa

et al. 2019

J. High Energ. Phys.

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We derive a general formula for renormalized entanglement entropy in evendimensional CFTs holographically dual to Einstein gravity in one dimension higher. In order to renormalize, we adapt the Kounterterm method to asymptotically locally AdS manifolds with conical singularities. On the gravity side, the computation considers extrinsic counterterms and the use of the replica trickà la Lewkowycz-Maldacena. The boundary counterterm B d is shown to satisfy a key property, in direct analogy to the Euler density: when evaluated on a conically singular manifold, it decomposes into a regular part plus a codimension-2 version of itself located at the conical singularity. The renormalized entropy thus obtained is shown to correspond to the universal part of the holographic entanglement entropy, which for spherical entangling surfaces is proportional to the central charge a that is the subject of the a-theorem. We also review and elucidate various aspects of the Kounterterm approach, including in particular its full compatibility with the Dirichlet condition for the metric at the conformal boundary, that is of standard use in holography.

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Section: Introductionmentioning

confidence: 99%

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

Anastasiou

Araya

Güijosa

et al. 2019

J. High Energ. Phys.

Self Cite

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“…Using Eqs. (1), (27), (34), and (36) of Ref. [71], it is straightforward to show that the Lyapunov exponent for an arbitrary metric function f (x) takes the following formλ…”

Section: Geodesic Instability and Qn Modesmentioning

confidence: 99%

Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability

Momennia

Hendi

2019

Phys. Rev. D

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Stability criteria of nearly extreme black holes in the perturbations level is one of the interesting issues in gravitational systems. Considering the nearly extreme conformal-de Sitter black holes, in this paper, we obtain an exact relation for the quasinormal modes of scalar perturbations. As a stability criteria, we find a lower bound on the event horizon radius which is corresponding to an upper bound on the value of the quasinormal frequencies. In addition, we show that the asymptotic behavior of quasinormal modes gives highly damped modes which is important due to possible connection between their real part and the Barbero-Immirzi parameter. We also obtain the Lyapunov exponent and the angular velocity of unstable circular null geodesics. Finally, we examine the validity of the relation between calculated quasinormal modes and unstable circular null geodesics. * email address: m.momennia@shirazu.ac.ir † email address: hendi@shirazu.ac.ir

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“…Indeed, phonemic and prosodic awareness are independent predictors of word reading (Clin, Wade-Woolley, & Heggie, 2009;Holliman, Wood, & Sheehy, 2010a;Defior, Gutierrez-Palma, & Cano-Marin, 2012;Goswami et al, 2013;Jimenez-Fernandez, Gutierrez-Palma, & Defior, 2015;Wade-Woolley, 2016; for a review see Wade-Woolley & Heggie, 2015), suggesting that prosody perception forms a separate dimension of linguistic skill relevant to reading acquisition. Not only has dyslexia has been linked to impaired prosody perception (Goswami, Gerson, & Astruc, 2010;Holliman et al, 2010a;Mundy & Carroll, 2012;Wade-Woolley, 2016;Wood & Terrell, 1998), but in adolescents with dyslexia, difficulties with the perception of lexical stress have been shown to be more prominent than problems with segmental phonology (Anastasiou & Protopapas, 2014). Finally, prosodic sensitivity also predicts word reading one year later (Holliman, Wood, & Sheehy, 2010b;Calet, Gutierrez-Palma, Simipson, Gonzalez-Trujillo, & Defior, 2015), suggesting that prosody perception is a foundational skill upon which children draw when learning to read.…”

Section: Prosody and Language Acquisitionmentioning

confidence: 99%

The Multidimensional Battery of Prosody Perception (MBOPP)

Jasmin

Dick

Tierney

2019

Preprint

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| Prosody can be defined as the rhythm and intonation patterns spanning words, phrases and sentences. Accurate perception of prosody is an important component of many aspects of language processing, such as parsing grammatical structures, recognizing words, and determining where emphasis may be placed.Prosody perception is important for language acquisition and can be impaired in language-related developmental disorders. However, existing assessments of prosodic perception suffer from some shortcomings. These include being unsuitable for use with typically developing adults due to ceiling effects, or failing to allow the investigator to distinguish the unique contributions of individual acoustic features such as pitch and temporal cues. Here we present the Multi-Dimensional Battery of Prosody Perception (MBOPP), a novel tool for the assessment of prosody perception. It consists of two subtests --Linguistic Focus, which measures the ability to hear emphasis or sentential stress, and Phrase Boundaries, which measures the ability to hear where in a compound sentence one phrase ends, and another begins.Perception of individual acoustic dimensions (Pitch and Time) can be examined separately, and test difficulty can be precisely calibrated by the the experimenter because stimuli were created using a continuous voice morph space. We present validation analyses from a sample of 57 individuals and discuss how the battery might be deployed to examine perception of prosody in various populations.

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From conformal to Einstein gravity

Cited by 69 publications

References 19 publications

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability

The Multidimensional Battery of Prosody Perception (MBOPP)

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