Particle-vortex and Maxwell duality in the AdS4 x CP3/ABJM correspondence

被引：13

作者：

Murugan, Jeff ^{[1
]}

Nastase, Horatiu ^{[2
]}

Rughoonauth, Nitin ^{[1
]}

Shock, Jonathan P. ^{[1
]}

机构：

[1] Univ Cape Town, Dept Math & Appl Math, Lab Quantum Grav & Strings, ZA-7700 Rondebosch, South Africa

[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, Brazil

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2014年 / 10期

基金：

新加坡国家研究基金会; 巴西圣保罗研究基金会;

关键词：

Duality in Gauge Field Theories; Solitons Monopoles and Instantons; AdS-CFT Correspondence;

D O I：

10.1007/JHEP10(2014)051

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 the notion of particle-vortex duality in abelian theories of complex scalar fields coupled to gauge fields, formulating the duality as a transformation at the level of the path integral. This transformation is then made symmetric and cast as a self-duality that maps the original theory into itself with the role of particles and vortices interchanged. After defining the transformation for a pure Chern-Simons gauge theory, we show how to embed it into (a sector of) the (2 + 1)-dimensional ABJM model, and argue that this duality can be understood as being related to 4-dimensional Maxwell duality in the AdS(4) x CP3 bulk.

引用

页数：28

共 21 条

[1] N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals [J].