Closed Response Calculus for SLE Weldings and Weil--Petersson Kähler Geometry

For $0<\kappa \le 4$, we construct a closed response calculus for ${\mathrm{S}\mathrm{L}\mathrm{E}}_{\kappa }$ weldings and a canonical Dirichlet form. The divergence covariance combines the Weil–Petersson and Velling–Kirillov forms. The integrated response gives exact changes of measure and canonical Liouville–capacity increments on conformally removable weldings.