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The dilaton gravity hologram of double-scaled SYK
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We work out a precise holographic duality between sine dilaton gravity, and DSSYK. More precisely, canonical quantization of sine dilaton gravity reproduces q-Schwarzian quantum mechanics, which is the auxiliary system that arises from the chord diagrams of DSSYK. The role of the chord number in DSSYK is played by the (Weyl rescaled) geodesic length in the bulk. The most puzzling aspect of reconciling DSSYK with a simple gravitational dual at the classical level is the distinction between temperature and "fake temperature". At the q-Schwarzian level, we clarify how this arises from the constraint that the chord number is positive. The on-shell q-Schwarzian action with the constraint reproduces the thermodynamics of DSSYK. Semi-classically, in sine dilaton gravity this translates to the insertion of a defect, from which we deduce that fake temperature is the Hawking temperature of a smooth Lorentzian black hole. We comment on several relations with dS space. One remarkable feature is that in sine dilaton gravity quantization discretizes spacetime, therefore the Hilbert space is discrete.
Forward citations
Cited by 13 Pith papers
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An entropic puzzle in periodic dilaton gravity and DSSYK
Gauging a momentum shift symmetry in sine dilaton gravity yields the DSSYK spectrum, makes negative-length states null, and predicts a finite entropy S=2πθ−2θ² instead of the Bekenstein-Hawking area law.
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Comments on holographic spread complexity
The momentum–spread-complexity relation requires generalized coherent states adapted to the spacetime symmetry algebra; semiclassical spreading alone cannot produce a momentum–complexity correspondence.
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de Sitter JT gravity from double-scaled SYK
The upper edge of the DSSYK spectrum, in a triple scaling limit, exactly reproduces the matrix model of two-dimensional de Sitter JT gravity.
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Deforming the Double Liouville String
For a two-parameter deformation of double Liouville string theory, the sphere partition function is computed to third order in the deformation coupling, with the Complex Liouville String differing from the Virasoro Mi...
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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-ene...
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The quadratic growth of Krylov spread complexity in the BTZ black hole
Krylov spread complexity of the BTZ thermofield-double state departs from pure quadratic growth at intermediate times and appears to return to quadratic pre-saturation growth, with a bulk dual constructed from an infi...
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Three-loop onset of the wormhole length in DSSYK
The wormhole-length onset L0 in DSSYK is derived in closed form through three loops, with new two- and three-loop coefficients from a new exact recursion.
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Quantum gravity around ultracold black holes from DSSYK
Ultracold Reissner-Nordström de Sitter black hole fluctuations are proposed to be described by a gauged near-flat dilaton gravity model with a Gaussian spectral density, yielding a finite partition function and dynami...
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Holography of K-complexity: Switchbacks and Shockwaves
Operator Krylov complexity in triple-scaled DSSYK matches JT-gravity geodesic lengths with shockwaves and exhibits the switchback effect when the Lanczos algorithm is perturbed by two-sided operator insertions.
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De Sitter Complexity Grows Linearly in the Static Patch
Timelike extremal volume in the de Sitter static patch gives a holographic complexity that grows linearly with time and is proportional to horizon entropy times temperature.
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Probing the singularity at the holographic screen via $q$-holography
The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.
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Sine-dilaton gravity vs double-scaled SYK: exploring one-loop quantum corrections
The one-loop gravitational path integral of sine-dilaton gravity reproduces the one-loop corrections of double-scaled SYK for the free energy (up to an ordering ambiguity) and exactly for the matter two-point function.
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Non-perturbative corrections in the semi-classical limit of double-scaled SYK
Non-perturbative corrections in the small-coupling limit of the double-scaled SYK partition function are resummed into a cubic power of the Dedekind eta function, in both the low-energy and low-temperature limits.
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