Towards the Holographic Dual of N = 2 SYK

TL;DR

This paper constructs an AdS2 background in N=(2,2) JT gravity, demonstrating that its boundary dynamics are governed by the super-Schwarzian, thus supporting the holographic duality with N=2 SYK.

Contribution

It develops an N=(2,2) JT gravity model with a super-Schwarzian boundary action, extending the holographic duality to N=2 SYK models.

Findings

Boundary dynamics captured by super-Schwarzian action.

Reproduction of SYK model chirality through supergravity.

Supports JT/SYK duality in N=2 setting.

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 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.