8 problems

Let ${\cal V}$ be the boundary vertex operator algebra of a three-dimensional theory, and let $R_{\cal V}$ denote its Zhu $C_2$ algebra. Write $\operatorname{Specm}(R_{\cal V})$ fo…

Let $\mathbb{T}_{\mathfrak g}$ be the gauge theory associated with a Lie algebra $\mathfrak g$, with gauge nodes indexed by $j$ and Cartan matrix $C(\mathfrak g)$. Its infrared the…

Consider the ${\cal N}=2$ theories described in the source as Lagrangian realizations of the relevant three-dimensional theories. Supersymmetry-enhancement conjecture. There is non…

The infrared theory is an ${\cal N}=4$ superconformal field theory obtained after the accidental $U(1)$ flavor symmetry enhances to the axial $U(1)_{\rm Axial}$ subgroup of the…

Let $\mathrm{Tr}^C_\zeta$ and $\mathrm{Tr}^H_m$ be the twisted traces on the quantum Coulomb and Higgs branch algebras, respectively. For Coulomb and Higgs branch operators…

The special sphere partition function $Z(m;\zeta)$ depends on masses $m$ and FI parameters $\zeta$. Let $v$ range over the massive, trivial, isolated vacua of a three-dimensional…

$T[SU(3)]$ coset conjecture.

Let a twisted three-dimensional gauge theory have a boundary vertex operator algebra with vacuum module $V$. Let $\operatorname{Ext}^{\bullet}_{V}(V,V)$ denote the self-…