4 problems

Let $G$ be a reductive group, let $\mathbf{N}$ be a representation, and let $\mathcal{M}(G,\mathbf{N})$ and $\mathcal{M}_{\mathsf{Higgs}}(G,\mathbf{N})$ denote the associated Coulo…

Let $G$ be a simple group, let $g$ be the genus of a Riemann surface, and let $e^{(1)},\dots,e^{(p)}$ be nilpotent labels for its punctures. Write $\mathcal{M}(G^{\vee},V)$ for the…

Let a three-dimensional abelian gauge theory be equipped with the A-twist and additional boundary free fermions, and let $V^A$ be the resulting boundary VOA. Write $X_{V^A}$ for it…

Let $\mathcal{V}$ be the boundary vertex algebra of an $A$-twisted gauge theory with purely free fermion boundary degrees of freedom. Its associated variety is … where…