It has long been known that a metal near an instability
to antiferromagnetism also has a weak-coupling Cooper instability to
spin-singlet d-wave-like superconductivity.
However, the theory of the antiferromagnetic quantum
critical point flows to strong-coupling in two spatial dimensions, and so the
fate of the superconductivity has also been unclear.
I will describe a method to realize the generic
antiferromagnetic quantum critical in a metal in a sign-problem-free Monte
Carlo simulation. Results showing Fermi surface reconstruction and
unconventional spin-singlet superconductivity across the critical point are