Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT
Abstract
We consider a model of a holographic 2+1d CFT interacting with an oscillating background gauge field. It is solved by an AdS-Vaidya metric describing Ohmic heating of the boundary field theory. However, we also show that if timelike singularities of Kasner type are permitted then a time independent solution that may be interpreted as a Floquet state of the system can be constructed. In this state the system exhibits either Hall conductivity or kinetic induction, and we numerically evaluate the Kasner exponents for a range of boundary conditions. This model may contribute to the ongoing discussion on the validity and meaning of the Kasner metric in the AdS/CFT correspondence and its application in cosmology.
Keywords
Cite
@article{arxiv.2405.14971,
title = {Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT},
author = {Emil Albrychiewicz and Ori J. Ganor},
journal= {arXiv preprint arXiv:2405.14971},
year = {2024}
}
Comments
Revised according to comments from referee