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

Hamid Afshar (Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040 Vienna, Austria; School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531 Tehran, Iran) ; Hernán A. González (Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Diagonal Las Torres 2640 Peñalolén, Santiago, Chile) ; Daniel Grumiller (Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040 Vienna, Austria) ; Dmitri Vassilevich (CMCC, Universidade Federal do ABC, Santo Andre CEP 09210-80, Sao Paulo, Brazil; Physics Department, Tomsk State University, Tomsk 634050, Russia)

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].

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      "value": "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]."
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Published on:
24 April 2020
Publisher:
APS
Published in:
Physical Review D , Volume 101 (2020)
Issue 8
DOI:
https://doi.org/10.1103/PhysRevD.101.086024
arXiv:
1911.05739
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: