Localization and non-renormalization in Chern-Simons theory

被引:5
作者
Fan, Yale [1 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2019年 / 01期
关键词
Chern-Simons Theories; Supersymmetric Gauge Theory; Topological Field Theories; GAUGE-THEORIES; FIELD-THEORY; SUPERSYMMETRY; NONINVARIANCE; QUANTIZATION;
D O I
10.1007/JHEP01(2019)065
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We revisit and clarify some aspects of perturbative renormalization in pure Chern-Simons theory by means of a localization principle associated with an underlying supersymmetry. This perspective allows the otherwise perturbative one-loop shifts to be interpreted as nonperturbative consequences of a non-renormalization theorem, while providing a unified understanding of their origin (particularly in the case of Wilson lines). We illustrate this approach explicitly for SU(2) Chern-Simons theory in flat space, on Seifert manifolds, and on a solid torus.
引用
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页数:79
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