Abstract
The gravitational part of the holographic dual to the SYK model has been conjectured to be Jackiw-Teitelboim (JT) gravity. In this paper we construct an AdS2 background in \( \mathcal{N}=\left(2,\ 2\right) \) JT gravity and show that the gravitational dynamics are — as in the \( \mathcal{N}=0 \) and \( \mathcal{N}=1 \) cases — fully captured by the extrinsic curvature as an effective boundary action. This boundary term is given by the super-Schwarzian of the \( \mathcal{N}=2 \) SYK model, thereby providing further evidence of the JT/SYK duality. The chirality of this SYK model is reproduced by the inherent chirality of axial \( \mathcal{N}=\left(2,\ 2\right) \) supergravity.
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Förste, S., Kames-King, J. & Wiesner, M. Towards the holographic dual of \( \mathcal{N}=2 \) SYK. J. High Energ. Phys. 2018, 28 (2018). https://doi.org/10.1007/JHEP03(2018)028
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DOI: https://doi.org/10.1007/JHEP03(2018)028