Particle-Vortex Duality from 3D Bosonization

被引：285

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.

引用

页数：11

共 61 条

[1] Aspects of N=2 supersymmetric gauge theories in three dimensions [J].