Infinite Analysis Seminar Tokyo
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Date, time & place | Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
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2018/03/27
15:00-16:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Yoshiki Fukusumi (The University of Tokyo, The Institute for Solid State Physics)
Schramm-Loewner evolutions and Liouville field theory (JAPANESE)
Yoshiki Fukusumi (The University of Tokyo, The Institute for Solid State Physics)
Schramm-Loewner evolutions and Liouville field theory (JAPANESE)
[ Abstract ]
Schramm-Loewner evolutions (SLEs) are stochastic processes driven by Brownian motions which preserves conformal invariance. They describe the cluster boundaries associated with the minimal models of the conformal field theory, including the Ising model and the percolation as typical examples. The correlation functions of such models remarkably satisfy the martingale condition. We briefly review some known results. Then we analyse the time reversing procedure of Schramm Loewner evolutions and its relation to Liouville field theory or 2d pure gravity. We can get martingale observables by the calculation of the correlation functions of Liouville field theory without matter.
Schramm-Loewner evolutions (SLEs) are stochastic processes driven by Brownian motions which preserves conformal invariance. They describe the cluster boundaries associated with the minimal models of the conformal field theory, including the Ising model and the percolation as typical examples. The correlation functions of such models remarkably satisfy the martingale condition. We briefly review some known results. Then we analyse the time reversing procedure of Schramm Loewner evolutions and its relation to Liouville field theory or 2d pure gravity. We can get martingale observables by the calculation of the correlation functions of Liouville field theory without matter.