Flat space holography and the complex Sachdev-Ye-Kitaev model

We provide the first steps toward 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 m...

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Bibliographic Details
Published in:Physical review. D 2020-04, Vol.101 (8), Article 086024
Main Authors: Afshar, Hamid, González, Hernán A., Grumiller, Daniel, Vassilevich, Dmitri
Format: Article
Language:English
Subjects:
Compressibility
Field theory
Gravitation
Holography
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Summary:We provide the first steps toward 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 [H. R. Afshar, Warped Schwarzian theory, J. High Energy Phys. 02 (2020) 126].
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.086024