Virasoro代数的无穷小共形限制和统一措施

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-01-15 DOI:10.1016/j.matpur.2025.103669

Maria Gordina , Wei Qian , Yilin Wang

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引用次数: 0

摘要

我们使用SLEκ环测度构造了中心电荷c=c(κ)≤1的Virasoro代数的自然表示。特别地，我们利用SLE环测度引入了一种非退化双线性厄米特形式（非正定），并证明了其表示是不定酉的。我们的证明依赖于SLE环测度的无限小共形限制性质。

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Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra

We use the SLE_κ loop measure to construct a natural representation of the Virasoro algebra of central charge

c = c (κ) \leq 1

. In particular, we introduce a non-degenerate bilinear Hermitian form (and non positive-definite) using the SLE loop measure and show that the representation is indefinite unitary. Our proof relies on the infinitesimal conformal restriction property of the SLE loop measure.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.