7 problems

Consider the $|\varphi|^4$ model with free boundary conditions (FBC), and let $\chi_{g,\nu,N}^{\rm F}$ denote its susceptibility, while $\chi_{g,\nu,N}$ denotes the susceptibility…

An RCFT has vanishing gravitational anomaly when its left- and right-moving gravitational anomaly cancels. A boundary condition has finite $g$-function when its boundary entropy pa…

Free-boundary effective critical point conjecture. There exists such a $\beta_{c,r}$ for which all statements of the non-Gaussian limit and universal profile conjecture hold with…

Let $T>0$, let $m$ be the porous-medium exponent, and let $g:{\mathbb T}\to[0,1]$ be measurable. For each $\kappa>0$, let…

Complete Lagrangian boundary-condition conjecture. The boundary condition

Left-definite domain equality conjecture. For every $n\in\mathbb{N}$,

Let anti-de Sitter spacetime be the maximally symmetric solution of the vacuum Einstein equations with negative cosmological constant. Consider perturbations of anti-de Sitter spac…