Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2016
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| _version_ | 1866914549503885312 |
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| author | Kodera, Ryosuke Nakajima, Hiraku |
| author_facet | Kodera, Ryosuke Nakajima, Hiraku |
| contents | 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 $\mathfrak{gl}(1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_00875 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras Kodera, Ryosuke Nakajima, Hiraku Representation Theory High Energy Physics - Theory Mathematical Physics Algebraic Geometry Differential Geometry 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 $\mathfrak{gl}(1)$. |
| title | Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras |
| topic | Representation Theory High Energy Physics - Theory Mathematical Physics Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/1608.00875 |