Семинар «Современная математическая физика»

Дата и время: вторник, 6 июля 2021 г., в 13:00

Место: Онлайн конференция в Zoom, Лаборатория теоретической физики им. Н.Н. Боголюбова

Ссылка для подключения

Тема семинара: «More on holography in Kerr-AdS₅»

Докладчик: Анастасия Голубцова

Аннотация:

The 5-dimensional Kerr-AdS black holes are holographically dual to the thermal ensemble of N=4 SYM at strong coupling on the cylinder 𝑅 × 𝑆³. This allows describing a rotating quark-gluon plasma using classical gravity in Kerr-Ad𝑆₅. We calculate the thermodynamical quantities of Kerr-Ad𝑆₅ and find that the rotation effects on the Hawing-Page phase transition, which corresponds to a first-order phase transition in the dual field theory.

Using the holographic prescription we calculate the energy of a static quark in both the rotating- and static-at-infinity frames under the assumption that the rotational parameters are small. We show that at high temperature the contribution from the rotation is suppressed, thus the dependence for the energy on the temperature turns to be √λ/2 × T_H as for the case of the planar black brane.

We also present the general formulae for the holographic drag forces acting on a heavy quark for the case of two arbitrary rotational parameters. In the holographic description the heavy quark can be considered through a string hanging towards the black hole horizon with a fixed endpoint attached to the boundary of the Kerr-Ad𝑆₅ background. We consider the rotating-at-infinity frame of the Kerr-Ad𝑆₅ with the string endpoint fixed on the boundary, so the string rotates together with the QGP and the static-at-infinity frame with a slowly moving endpoint of the string. We show that the results for the drag force are equivalent in different frames.