TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.052
TI  - Line operators in 4d Chern-Simons theory and Cherkis bows
PY  - 2024/02/22
UR  - https://www.scipost.org/SciPostPhys.16.2.052
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 052
A1  - Ishtiaque, Nafiz
AU  - Zhou, Yehao
AB  - We show that the phase spaces of a large family of line operators in 4d Chern-Simons theory with 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 $\Omega$-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.
ER  -

@Article{10.21468/SciPostPhys.16.2.052,
	title={{Line operators in 4d Chern-Simons theory and Cherkis bows}},
	author={Nafiz Ishtiaque and Yehao Zhou},
	journal={SciPost Phys.},
	volume={16},
	pages={052},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.052},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.052},
}