  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.
