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Martingale-observables for dipolar SLE with the Dirichlet boundary condition

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Authors
탁희준
Advisor
김판기
Major
자연과학대학 수리과학부
Issue Date
2018-02
Publisher
서울대학교 대학원
Keywords
Dipolar conformal field theoryDipolar SLEmartingale-observables
Description
학위논문 (박사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. 김판기.
Abstract
In this thesis, we study a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirich- let boundary condition. We prove that correlation functions of certain fam- ily of fields in this theory under the insertion of the boundary condition changing operator are martingale-observables for dipolar SLE. We adopt and modify definitions and basic properties developed in the study of a ver- sion of chordal conformal field theory to implement this version of dipolar conformal field theory. Using techniques in a dipolar conformal field theory, we prove the restriction property of dipolar SLE(8/3), Friedrich-Werner’s formula in the dipolar case and the Cardy-Zhan observables.
Language
English
URI
http://hdl.handle.net/10371/141145
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
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