6 problems

Let $W[z_2,z_1]$ be the gravitational AdS$_3$ Wilson line anchored at endpoints $z_1$ and $z_2$, and let $O(z)$ be a bilocal primary operator. Gravitational Wilson-line corresponde…

Let $N,M\in\mathbb{Z}_{>0}$, set $k=-N-M$, and let $x_1,\ldots,x_M$ satisfy the source's flavor constraint. Define the fundamental Wilson-line one-point function by the correspondi…

Let $N\in\mathbb{Z}$, and let $\langle W_1\rangle^{SU(N)_{-N-1}}(x;q)$ denote the one-point function of the fundamental Wilson line in the three-dimensional $\mathcal{N}=2$ $SU(N)$…

Let $N\in\mathbb{Z}$, let $W_{(\infty)}$ and $W_{\overline{(\infty)}}$ denote Wilson line operators in a pair of conjugate large symmetric representations of the three-dimensional…

Let $N,k\in\mathbb{Z}$, and let $W_{(kN)}$ be the Wilson line in the rank-$kN$ symmetric representation of the three-dimensional $\mathcal{N}=2$ $SU(N)$ pure Chern Simons theory at…

Let $N,n,k\in\mathbb{Z}$, let $s_N=(s_1s_2\cdots s_{N-1})^{-1}$, and let $\langle W_n\rangle^{SU(N)_{-N}}(q)$ denote the one-point function of a charge-$n$ Wilson line in the three…