Line operators in 4d Chern-Simons theory and Cherkis bows

Line operators in 4d Chern-Simons theory and Cherkis bows

Blog Article

We show that 53-264817 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 hastu goyal 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.