Brownian half‐plane excursion and critical Liouville quantum gravity

• Published in: Journal of the London Mathematical Society Vol. 107; no. 1; pp. 441 - 509
• Main Authors: Aru, Juhan, Holden, Nina, Powell, Ellen, Sun, Xin
• Format: Journal Article
• Language: English
• Published: 01.01.2023

In a groundbreaking work, Duplantier, Miller and Sheffield showed that subcritical Liouville quantum gravity (LQG) coupled with Schramm–Loewner evolutions (SLE) can be obtained by gluing together a pair of Brownian motions. In this paper, we study the counterpart of their result in the critical case...