O(N) BCFT: new data from conformal partial wave expansions (opens in new tab)

The $\mathsf{O}(N)$ $\mathsf{BCFT}$ is analyzed in the large $N$ expansion in a generic bulk dimension $2<d+1<4$. Focus is on boundary conditions corresponding to the ordinary transition, however techniques used can be generalized to special or extraordinary transitions. We study the system of bulk $2$-pt functions $\langle \phi\phi\rangle$, $\langle \phi^2 \phi^2\rangle$ and $\langle \sigma\sigma \rangle$, where $\sigma$ is the Hubbard--Strat...