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Theoretical Physics
Abstract:
We compute the rational sl_2 R-matrix acting in the product of two spin-l/2 ($l\in N\over 2$) representations, using a method analogous to the one of Maulik and Okounkov, i.e., by studying the equivariant (co)homology of certain algebraic varieties. These varieties, first considered by Nekrasov and Shatashvili, are typically singular. They may be thought of as the higher spin generalizations of A_1 Nakajima quiver varieties (i.e., cotangent bundles of Grassmannians), the latter corresponding to l=1.