Classification of commutation relation for multi-radial SLE

Locally commuting multiple radial Schramm-Loewner evolutions ($\mathrm{SLE}_κ$) are encoded by partition functions satisfying the radial Belavin-Polyakov-Zamolodchikov (BPZ) equations and a conformal Ward identity with spectral parameters $λ,ν\in\mathbb{R}$. For $κ>0$ and $λ\in\mathbb{R}$, we show t