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

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.

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Bykov, D.1, Author
Zinn-Justin, P.1, Author
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1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: 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.

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 Dates: 2020
 Publication Status: Issued
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Title: Lett. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 110 Sequence Number: - Start / End Page: 2435 - 2470 Identifier: -