5 problems

Let $\mathfrak{g}$ be a simple finite-dimensional Lie algebra over $\mathbb{C}$, let $g$ be its dual Coxeter number, and let $A$ be the quotient of…

Consider ${\cal N}=1$ theories whose moduli spaces admit toric descriptions. Toric-duality conjecture. Toric duality is Seiberg duality for ${\cal N}=1$ theories with toric moduli…

Let $p,q$ be positive coprime integers, let $b^2=p/q$, and let $\boldsymbol{Y}$ range over tuples of partitions with corresponding terms $Z_{\vec{Y}}$. Let $\epsilon_1$ and…

Let $m,n,L$ be positive integers, let $\mathbf{M}=(M_1,\dotsc,M_{m+n-1})\in\mathbb{Z}_{\geq0}^{m+n-1}$, and let $\CM(\mathbf{M})$ be the Calabi–Yau target of the corresponding effe…

Let $(X,\zeta)$ be a polarized ring with symmetry or Reeb vector field $\zeta$. The ring is the chiral ring of a four-dimensional $\mathcal{N}=1$ superconformal field theory (SCFT)…