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Towards the Holographic Dual of N = 2 SYK

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arxiv 1712.07398 v2 pith:VAHQ2QHT submitted 2017-12-20 hep-th cond-mat.str-el

Towards the Holographic Dual of N = 2 SYK

classification hep-th cond-mat.str-el
keywords modelboundarychiralitydualgravitationalgravityholographicaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 N = (2,2) JT gravity and show that the gravitational dynamics are - as in the N = 0 and 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 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 N = (2,2) supergravity.

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