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math.PR2021★ 1 cited
Mating of trees for critical Liouville quantum gravity
Juhan Aru, Nina Holden, Ellen Powell +1
In a groundbreaking work, Duplantier, Miller and Sheffield showed that subcritical Liouville quantum gravity (LQG) coupled with Schramm-Loewner evolutions (SLE) can be described by…
math.PR2021
Integrability of SLE via conformal welding of random surfaces
Morris Ang, Nina Holden, Xin Sun
We demonstrate how to obtain integrable results for the Schramm-Loewner evolution (SLE) from Liouville conformal field theory (LCFT) and the mating-of-trees framework for Liouville…