Higher Spin Entanglement Entropy

In this paper, we develop a perturbation formulation to calculate the single interval higher spin R$\acute{e}$nyi and entanglement entropy for two dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$ symmetry. The system is at finite temperature and is deformed by higher spin chemical potential. We manage to compute higher spin R$\acute{e}$nyi entropy with various spin deformations up to order $\mathcal{O}(\mu^2)$. For spin 3 deformation, we calculate exact higher spin R$\acute{e}$nyi entropy up to $\mathcal{O}(\mu^4)$. When $\lambda=3$, in the large $c$ limit, we find perfect match with tree level holographic higher spin entanglement entropy up to order $\mu^4$ obtained by the Wilson line prescription. We also find quantum corrections to higher spin entanglement entropy which is beyond tree level holographic results. The quantum correction is universal at order $\mu^4$ in the sense that it is independent of $\lambda$. Our computation relies on a multi-valued conformal map from $n$-sheeted Riemann surface $\mathcal{R}_n$ to complex plane and correlation functions of primary fields on complex plane. The method can be applied to general conformal field theories with $\mathcal{W}$ symmetry.Comment: 49 pages,1 figure, to be published in JHE

Modélisation et commande d’une hydrolienne équipée d’une génératrice asynchrone double alimentation

Cet article traite de la modélisation et de la commande d’un système de récupération de l’énergie des courants de marée ; à savoir une hydrolienne équipée d’une génératrice asynchrone double alimentation. Dans un premier temps et dans le but de pouvoir évaluer les performances et la dynamique de l’hydrolienne, dans différentes conditions de fonctionnement, un modèle multiphysique est implanté sous Matlab/Simulink®. Ensuite, une stratégie de commande MPPT sans capteur de vitesse de la génératrice asynchrone est proposée. Cette stratégie est éprouvée en regard de l’effet de la houle qui est considéré comme le plus à même de perturber le modèle de la ressource. La modélisation multi-physique et la commande à vitesse variable ont été testés sur une hydrolienne équipée d’une génératrice asynchrone double alimentation de 7,5 kW et en utilisant des données réelles du site du Raz-de-Sein (Bretagne) pour l’année 2007.Financement de thèse de Brest Métropole Océan

Octet Baryon Masses in Partially Quenched Chiral Perturbation Theory

The mass spectrum of the lowest lying octet baryons is calculated to next-to-next-to-leading order in heavy baryon chiral perturbation theory and partially quenched heavy baryon chiral perturbation theory. We work in the isospin limit and treat the decuplet baryons as dynamical fields. These results are necessary for extrapolating QCD and partially quenched QCD lattice simulations of the octet baryon masses.Comment: 33 pgs, 4 figs, formatting changes in appendices, new discussion added in tex

Chiral Corrections to Hyperon Axial Form Factors

We study the complete set of flavor changing hyperon axial current matrix elements at small momentum transfer. Using partially quenched heavy baryon chiral perturbation theory, we derive the chiral and momentum behavior of the axial and induced pseudoscalar form factors. The meson pole contributions to the latter posses a striking signal for chiral physics. We argue that the study of hyperon axial matrix elements enables a systematic lattice investigation of the efficacy of three flavor chiral expansions in the baryon sector. This can be achieved by considering chiral corrections to SU(3) symmetry predictions, and their partially quenched generalizations. In particular, despite the presence of eight unknown low-energy constants, we are able to make next-to-leading order symmetry breaking predictions for two linear combinations of axial charges.Comment: 23 pages, 3 figures, typos corrected and a new NLO prediction adde