Homotopy RG flow and the non-linear σ-model

被引：1

作者：

Grady, Ryan ^{[1
]}

Williams, Brian ^{[2
]}

机构：

[1] Montana State Univ, Dept Math Sci, Bozeman, MT 59717 USA

[2] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

来源：

TOPOLOGY AND QUANTUM THEORY IN INTERACTION | 2018年 / 718卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/conm/718/14477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this note is to give a mathematical treatment to the low energy effective theory of the two-dimensional sigma-model. Perhaps surprisingly, this low energy effective theory encodes much of the topology and geometry of the target manifold. In particular, we relate the beta-function of our theory to the Ricci curvature of the target, recovering the physical result of Friedan.

引用

页码：187 / 211

页数：25

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