We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider Gauss-Bonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of the CFT; we verify that the holographic calculations are consistent with this property. We also compute the ho...

We consider the theory of higher derivative gravity with non-factorizable RandallSundrum type space-time and obtain the metric solutions which characterize the p-brane world-volume as a curved or planar defect embedded in the higher dimensions. We consider the string inspired effective actions of the dilatonic Gauss-Bonnet type in the brane background and show its consistency with the RS brane-...

In this paper, we prove the following two results: First, we study a class of conformally invariant operators P and their related conformally invariant curvatures Q on even-dimensional Riemannian manifolds. When the manifold is locally conformally flat(LCF) and compact without boundary, Q-curvature is naturally related to the integrand in the classical Gauss-Bonnet-Chern formula, i.e., the Pfaf...

RÉSUMÉ Cette recherche porte sur le chiasme de mots : figure de style jouant sur la réversion (ex. « Bonnet blanc, blanc bonnet »). Elle place le chiasme dans la problématique de sa reconnaissance automatique : qu’est-ce qui le définit et comment un ordinateur peut le trouver ? Nous apportons une description formelle du phénomène. Puis nous procédons à la constitution d’une liste d’exemples con...