Filmus–O'Donnell–Wu log-Sobolev conjecture for the multislice
Let κ=(κ1,…,κL)\kappa=(\kappa_1,\ldots,\kappa_L)κ=(κ1,…,κL) be the parameter defining the multislice, let τ\textscls(κ)\tau_{\textsc{ls}}(\kappa)τ\textscls(κ) denote the log-Sobolev constant of its transposition walk, and se…