9 problems

Let ${\mathcal A}$ be the algebra of local operators of a perturbative 3d holomorphic-topological QFT, and let ${\mathcal A}^!$ be its Koszul-dual $A_\infty$ algebra representing l…

Let the two Wilson lines be specified by their gauge charges … Let $(X_1)_1$ denote the boundary algebra whose vacuum character is given by the preceding half-index. $(X_1)_1$ Wils…

Consider the Wilson line $W_1$ with gauge charge $(2,-1,0,\ldots,0)$. Let the boundary vertex algebra be the intermediate algebra whose vacuum character is given by the preceding h…

Let $C(S,S):=\operatorname{Hom}_{\mathrm{Ft}(M,\Omega_I)}(S,S)$ and $C(S,F_b)$ be the corresponding Fueter Hom-categories, with the functor $RG_b(\zeta):C(S,S)\to C(S,F_b)$ induced…

Let $\mathcal{T}$ be a four-dimensional $\mathcal{N}=2$ field theory with Seiberg–Witten integrable system $(M,\Omega_I)$ and holomorphic Lagrangian section $S$. Let…

Let a bordered Riemann surface carry the local web data consisting of line segments and three-junctions, together with the associated tropical $a$ coordinates, canonical maps, and…

In the setting of higher-rank theories, geometric webs are constructed from tropical $a$ coordinates, while their algebraic descriptions are given by the associated line operators…

Consider the $A_2$ theory on a torus with one full puncture and its line operators, including the two internal line operators obtained from operator-product expansions of Wilson an…

Let $G$ be a gauge group, let $\Lambda_{cw}(G)$ and $\Lambda_w(G)$ denote its coweight and weight lattices, and set … A Wilson–'t Hooft operator is labeled by a Weyl-equivalence cl…