Coulomb branches of quiver gauge theories with symmetrizers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866910206054629376 |
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| author | Nakajima, Hiraku Weekes, Alex |
| author_facet | Nakajima, Hiraku Weekes, Alex |
| contents | We generalize the mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ SUSY quiver gauge theories in arXiv:1503.03676, arXiv:1601.03686, arXiv:1604.03625 to the cases with symmetrizers. We obtain generalized affine Grassmannian slices of type $BCFG$ as examples of the construction, and their deformation quantizations via truncated shifted Yangians. Finally, we study modules over these quantizations and relate them to the lower triangular part of the quantized enveloping algebra of type $ADE$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_06552 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Coulomb branches of quiver gauge theories with symmetrizers Nakajima, Hiraku Weekes, Alex Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Geometry Representation Theory We generalize the mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ SUSY quiver gauge theories in arXiv:1503.03676, arXiv:1601.03686, arXiv:1604.03625 to the cases with symmetrizers. We obtain generalized affine Grassmannian slices of type $BCFG$ as examples of the construction, and their deformation quantizations via truncated shifted Yangians. Finally, we study modules over these quantizations and relate them to the lower triangular part of the quantized enveloping algebra of type $ADE$. |
| title | Coulomb branches of quiver gauge theories with symmetrizers |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/1907.06552 |