Higher spin sl_2 R-matrix from equivariant (co)homology

Bykov, D.; Zinn-Justin, P.

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Higher spin sl_2 R-matrix from equivariant (co)homology

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Bykov, D.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Zinn-Justin, P.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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https://publications.mppmu.mpg.de/2020/MPP-2020-175/FullText.pdf
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https://link.springer.com/article/10.1007%2Fs11005-020-01302-z
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Bykov, D., & Zinn-Justin, P. (2020). Higher spin sl_2 R-matrix from equivariant (co)homology. Lett. Math. Phys., 110, 2435-2470. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-175.

Cite as: https://hdl.handle.net/21.11116/0000-0008-1BCB-6

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.