Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
Overview
Paper Summary
The paper investigates the dynamics of conformal field theories (CFTs) in 3+1 dimensions under periodic driving protocols involving different deformations of the CFT Hamiltonian. By employing conformal transformations and a quaternion formalism, the authors calculate quantities like fidelity, unequal-time correlators, and energy density, demonstrating the existence of heating and non-heating phases depending on the drive parameters. For protocols with a single SU(1,1) subalgebra of the conformal group involved, the Floquet Hamiltonian is derived, enabling the study of dynamical phase transitions.
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Possible Conflicts of Interest
None identified
Identified Limitations
Rating Explanation
This paper presents a novel approach to studying driven conformal field theories (CFTs) in higher dimensions, leading to exact solutions for certain Floquet dynamics. The use of quaternion formalism is a significant technical achievement. Although limited to CFTs and d ≤ 3 for now, the methods show promise for broader applications, warranting a rating of 4.
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