8 problems

Affine-scheme conjecture. This affine scheme captures the Macdonald and Schur indices of the $(A_1,D_{2n+1})$ theory. The construction is supported in the paper by explicit agreeme…

Let $R_V$ be Zhu's $C_2$-algebra and let the Jacobi algebra be the algebra conjectured to be identical with $R_V$ for the relevant Argyres–Douglas theories. Jacobi-algebra obstruct…

Let $X$ be an affine scheme satisfying currently unknown algebro-geometric conditions. Let $\mathcal{T}_X$ denote a four-dimensional $\mathcal{N}=2$ superconformal field theory, co…

Let $\mathcal{T}$ be a four-dimensional $\mathcal{N}=2$ superconformal field theory, and let its Schur and Macdonald indices be particular limits of its supersymmetric partition fu…

Let $\mathcal{T}$ be a four-dimensional $\mathcal{N}=2$ superconformal field theory, with Higgs branch viewed as an affine variety. For an affine scheme $X$, let…

Let $V_H(\widetilde{\mathcal{T}}^N_{\rm SQED})$ be the VOA associated with the 3d $\mathcal{N}=4$ theory $\widetilde{\mathcal{T}}^N_{\rm SQED}$, and let…

For each positive integer $n$, let $G$ be the symmetry group of the corresponding $H_G^{(n)}$ theory, let $v$ and $x$ be fugacities, let $m_G$ denote the $G$-flavor fugacities, and…

Let $G$ be the global symmetry group of a rank-one $H_G$ theory, let $v$ and $m_G$ denote its fugacities, and let $Q_{\tau}$ be the elliptic-parameter fugacity. Write … Let…