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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

Flat space holography and complex SYK

classification hep-th cond-mat.str-elgr-qc
keywords actioncomplexfieldflatgravitymodelsidespace
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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