Connection probabilities for loop $O(n)$ models and BPZ equations
演讲者
时间
2024年11月11日 17:00 至 17:45
地点
A6-101
线上
Zoom 388 528 9728
(BIMSA)
摘要
Critical loop $O(n)$ models are conjectured to be conformally invariant in the scaling limit. In this talk, we focus on connection probabilities for loop $O(n)$ models in polygons. Such probabilities can be predicted using two families of SLE partition functions: Coulomb gas integrals and pure partition functions. We will give the explicit relationship of the SLE partition functions with Coulomb gas formalism of CFT and derive various properties of these partition functions which matches with the algebraic content from CFT.
演讲者介绍
Hao Wu obtained her bachelor’s degree from Tsinghua University in 2009 and obtained her PhD from University of Paris-sud in 2013. She was a C.L.E. Moore instructor at MIT from 2013 to 2015 and was a postdoc researcher at Geneva University from 2015 to 2017. In 2017, she came back to Tsinghua University as a professor.
Hao Wu works on statistical physical models such as stochastic process Schramm-Loewner Evolution, Gaussian free field and Ising model. Hao Wu’s series of works find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the 2-dimensional critical lattice models. They verified predictions from the physics literature and provided evidence of the expected conformal field theory of these models.