7 problems

Let $W_N$ be the chiral algebra, and define … … In the $W_N$ double-lightcone limit, let $S_N(\beta_L,J)=C_N\beta_L^{\mu_N}J^{\nu_N}$, where $C_N$, $\mu_N$, and $\nu_N$ are finite…

Let $Z$ be a partition function of the form specified in the source, with current degeneracy $D(j)$ given by the source's shifted ansatz and parameter $a\in(0,\sqrt A)$. Define the…

Let $Z$ be a torus partition function of the form specified in the source, with at least one chiral current, and let $D(j)$ be the current density satisfying … where $a>0$,…

Degeneracy-ratio conjecture. One has

Scaling-dimension periodicity conjecture. The quantity $E(c)$ vanishes if and only if $c$ is an integer congruent to $4$ modulo $8$. Moreover, there is a constant $\alpha$ such tha…

Asymptotic quantile conjecture. As $N\to\infty$,

Exact constant conjecture. The constant $\lambda$ satisfies