Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
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.