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Flat space holography and complex SYK

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arxiv 1911.05739 v2 pith:CMSFH3HW submitted 2019-11-13 hep-th cond-mat.str-elgr-qc

Hamid Afshar , Hernan Gonzalez , Daniel Grumiller , Dmitri Vassilevich This is my paper · ORCID
classification hep-thcond-mat.str-elgr-qc
keywords actioncomplexfieldflatgravitymodelsidespace
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We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us, see 1908.08089.

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Cited by 4 Pith papers

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  1. Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    The one-loop partition function of the Galilean-de Sitter boundary theory is Z(β) = (2/πβ²) exp(4π²c₀/β), whose β⁻² prefactor matches the four generators of the EdS-G algebra; the matching bulk is a Newton-Cartan geom...

  2. Quantum gravity around ultracold black holes from DSSYK

    hep-th 2026-08 conditional novelty 6.0 of 10

    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...

  3. On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.

  4. Boundary dynamics of Maxwell-invariant three-dimensional Chern-Simons gravity

    hep-th 2025-06 conditional novelty 5.0 of 10

    A Maxwellian extension of flat Liouville theory is derived as the boundary dual of Maxwell-invariant 2+1 Chern-Simons gravity, and is shown to match a geometric action and a Carrollian expansion of the AdS3 dual.

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