Questions on provisional Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories
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arXiv
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| Format: | Preprint |
| Publié: |
2015
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| _version_ | 1866909030231834624 |
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| author | Nakajima, Hiraku |
| author_facet | Nakajima, Hiraku |
| contents | This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a $3$-dimensional $\mathcal N=4$ SUSY gauge theory was proposed. We ask questions on their expected properties, especially in relation to the corresponding Higgs branch, partly motivated by the interpretation of the level rank duality in terms of quiver varieties [arXiv:0809.2605] and the symplectic duality [arXiv:1407.0964]. We study questions in a few examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1510_03908 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Questions on provisional Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories Nakajima, Hiraku Mathematical Physics Algebraic Geometry Differential Geometry Quantum Algebra Representation Theory 70S15, 53Z05, 22E70 This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a $3$-dimensional $\mathcal N=4$ SUSY gauge theory was proposed. We ask questions on their expected properties, especially in relation to the corresponding Higgs branch, partly motivated by the interpretation of the level rank duality in terms of quiver varieties [arXiv:0809.2605] and the symplectic duality [arXiv:1407.0964]. We study questions in a few examples. |
| title | Questions on provisional Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories |
| topic | Mathematical Physics Algebraic Geometry Differential Geometry Quantum Algebra Representation Theory 70S15, 53Z05, 22E70 |
| url | https://arxiv.org/abs/1510.03908 |