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This is an announcement of some of the 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 correspondence between the Heisenberg spin chain and the two dimensional U(N) theory with fundamental hypermultiplets is reviewed in detail. We demonstrate the isomorphism of the equivariant quantum cohomology of the cotangent bundle to the Grassmanian manifold Gr(N,L) and the ring of quantum integrals of motion of the length L SU(2) XXX spin chain, in the N-particle sector. This paper accompanies arXiv:0901.4744, Comment: 21 pp., short version II, conference in honour of T.Eguchi's 60th anniversary; v2. typos and refs corrected

Low-energy effective action of the N = 2 supersymmetric Yang-Mills theory with the gauge group U(N) is calculated by doing an explicit instanton sum. In particular, we present a microscopic derivation of the Seiberg-Witten curve.