Jordan颤振规范理论的量子化库仑分支与分环有理Cherednik代数

Proceedings of Symposia in Pure Mathematics Pub Date : 2016-08-02 DOI:10.1090/PSPUM/098/01720

R. Kodera, H. Nakajima

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引用次数: 45

摘要

研究了Jordan型颤振规范理论的量子化库仑分支。证明了量子化的Coulomb分支在非框架情况下与球面分阶Cherednik代数同构，在框架情况下与球面分环有理Cherednik代数同构。我们还证明了量子化的库仑分支是仿射元$\mathfrak{gl}(1)$的Yangian子商的变形。

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Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras

We study quantized Coulomb branches of quiver gauge theories of Jordan type. We prove that the quantized Coulomb branch is isomorphic to the spherical graded Cherednik algebra in the unframed case, and is isomorphic to the spherical cyclotomic rational Cherednik algebra in the framed case. We also prove that the quantized Coulomb branch is a deformation of a subquotient of the Yangian of the affine $\mathfrak{gl}(1)$.

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来源期刊

Proceedings of Symposia in Pure Mathematics

CiteScore

0.60

自引率

0.00%

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