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arXiv · 2405.14971

Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT

Emil Albrychiewicz·Ori J. Ganor
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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.

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Emil Albrychiewicz, Ori J. Ganor. 2024-05-23. Timelike Kasner singularities and Floquet States in 2+1d AdS/CFT. https://arxiv.org/abs/2405.14971

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