Particle-Vortex Duality from 3D Bosonization

被引：272
作者：
Karch, Andreas [1 ]
Tong, David [2 ,3 ]
机构：
[1] Univ Washington, Dept Phys, Seattle, WA 98195 USA
[2] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[3] Stanford Inst Theoret Phys, Via Pueblo, Stanford, CA 94305 USA
来源：
PHYSICAL REVIEW X | 2016年 / 6卷 / 03期
基金：
欧洲研究理事会;
关键词：
SUPERSYMMETRIC GAUGE-THEORIES; MIRROR SYMMETRY; TRANSITION; LEVEL;
D O I：
10.1103/PhysRevX.6.031043
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show how particle-vortex duality in d = 2 + 1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is "bosonization," a conjectured duality that uses flux attachment to transmute the statistics of relativistic particles. From this seed, we derive many old and new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.
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页数：11
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