  An announcement of some results of a longer paper where the supersymmetric
vacua of two dimensional N=2 susy gauge theories with matter are shown to be in
one-to-one correspondence with the eigenstates of integrable spin chain
Hamiltonians. The Heisenberg spin chain is mapped to the two dimensional U(N)
theory with fundamental hypermultiplets, the XXZ spin chain is mapped to the
analogous three dimensional super-Yang-Mills theory compactified on a circle,
the XYZ spin chain and eight-vertex model are related to the four dimensional
theory compactified on a torus. The correspondence extends to any spin group,
representations, boundary conditions, and inhomogeneity, it includes
Sinh-Gordon and non-linear Schroedinger models as well as the dynamical spin
chains such as the Hubbard model. Compactifications of four dimensional N=2
theories on a two-sphere lead to the instanton-corrected Bethe equations. We
propose a completely novel way for the Yangian, quantum affine, and elliptic
algebras to act as a symmetry of a union of quantum field theories.
  This paper accompanies arXiv:0901.4748
