  We study thermal correlation functions of Jackiw-Teitelboim (JT)
supergravity. We focus on the case of JT supergravity on orientable surfaces
without time-reversal symmetry. As shown by Stanford and Witten recently, the
path integral amounts to the computation of the volume of the moduli space of
super Riemann surfaces, which is characterized by the Brezin-Gross-Witten (BGW)
tau-function of the KdV hierarchy. We find that the matrix model of JT
supergravity is a special case of the BGW model with infinite number of
couplings turned on in a specific way, by analogy with the relation between
bosonic JT gravity and the Kontsevich-Witten (KW) model. We compute the genus
expansion of the one-point function of JT supergravity and study its
low-temperature behavior. In particular, we propose a non-perturbative
completion of the one-point function in the Bessel case where all couplings in
the BGW model are set to zero. We also investigate the free energy and
correlators when the Ramond-Ramond flux is large. We find that by defining a
suitable basis higher genus free energies are written exactly in the same form
as those of the KW model, up to the constant terms coming from the volume of
the unitary group. This implies that the constitutive relation of the KW model
is universal to the tau-function of the KdV hierarchy.
