  The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of
charged black holes. Motivated by the holographic complexity conjecture, we
calculate the late-time rate of change of action of a Wheeler-DeWitt patch in
the JT theory. Surprisingly, the rate vanishes. This is puzzling because it
contradicts both holographic expectations for the rate of complexification and
also action calculations for charged black holes. We trace the discrepancy to
an improper treatment of boundary terms when naively doing the dimensional
reduction. Once the boundary term is corrected, we find exact agreement with
expectations. We comment on the general lessons that this might hold for
holographic complexity and beyond.
