SLE partition functions via conformal welding of random surfaces

Understand

SLE curves describe the scaling limit of interfaces from many 2D lattice models.

• Heuristically speaking, the SLE partition function is the continuum counterpart of the partition function of the corresponding discrete model.
• It is well known that conformally welding of Liouville quantum gravity (LQG) surfaces gives SLE curves as the interfaces.
• In this paper, we demonstrate in several settings how the SLE partition function arises from conformal welding of LQG surfaces.