Renormalization Group Flows on Line Defects

被引:72
作者
Cuomo, Gabriel [1 ,2 ]
Komargodski, Zohar [1 ,2 ]
Raviv-Moshe, Avia [1 ]
机构
[1] SUNY Stony Brook, Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA
[2] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
基金
美国国家科学基金会;
关键词
FIELD-THEORY APPROACH; QUANTUM IMPURITY; ISING-MODEL; C-THEOREM; BOUNDARY; STATES;
D O I
10.1103/PhysRevLett.128.021603
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider line defects in d-dimensional conformal field theories (CFTs). The ambient CFT places nontrivial constraints on renormalization group (RG) flows on such line defects. We show that the flow on line defects is consequently irreversible and furthermore a canonical decreasing entropy function exists. This construction generalizes the g theorem to line defects in arbitrary dimensions. We demonstrate our results in a flow between Wilson loops in four dimensions.
引用
收藏
页数:7
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