Line Operators in 4d Chern-Simons Theory and Cherkis Bows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929256960884736 |
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| author | Ishtiaque, Nafiz Zhou, Yehao |
| author_facet | Ishtiaque, Nafiz Zhou, Yehao |
| contents | We show that the phase spaces of a large family of line operators in 4d Chern-Simons theory with $\text{GL}_n$ gauge group are given by Cherkis bow varieties with $n$ crosses. These line operators are characterized by Hanany-Witten type brane constructions involving D3, D5, and NS5 branes in an $Ω$-background. Linking numbers of the five-branes and mass parameters for the D3 brane theories determine the phase spaces and in special cases they correspond to vacuum moduli spaces of 3d $\mathcal{N}=4$ quiver theories. Examples include line operators that conjecturally create T, Q, and L-operators in integrable spin chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_00049 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Line Operators in 4d Chern-Simons Theory and Cherkis Bows Ishtiaque, Nafiz Zhou, Yehao High Energy Physics - Theory Mathematical Physics We show that the phase spaces of a large family of line operators in 4d Chern-Simons theory with $\text{GL}_n$ gauge group are given by Cherkis bow varieties with $n$ crosses. These line operators are characterized by Hanany-Witten type brane constructions involving D3, D5, and NS5 branes in an $Ω$-background. Linking numbers of the five-branes and mass parameters for the D3 brane theories determine the phase spaces and in special cases they correspond to vacuum moduli spaces of 3d $\mathcal{N}=4$ quiver theories. Examples include line operators that conjecturally create T, Q, and L-operators in integrable spin chains. |
| title | Line Operators in 4d Chern-Simons Theory and Cherkis Bows |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2211.00049 |