The soft modes of double-scaled SYK are reparametrizations of twisted time coordinates; their effective action is the nonlinear Schwarzian, and deformations yield multi-field Liouville theories with computable low-energy effects.
Kitaev, A simple model of quantum holography (part 2), Entanglement in Strongly-Correlated Quantum Matter(2015) 38
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Twisted times, the Schwarzian and its deformations in DSSYK
The soft modes of double-scaled SYK are reparametrizations of twisted time coordinates; their effective action is the nonlinear Schwarzian, and deformations yield multi-field Liouville theories with computable low-energy effects.