Beyond the planar limit in ABJM

被引:11
作者
Koch, Robert de Mello [1 ,2 ,3 ]
Mohammed, Badr Awad Elseid [1 ,2 ]
Murugan, Jeff [4 ,5 ,6 ]
Prinsloo, Andrea [4 ,5 ,6 ]
机构
[1] Univ Witwatersrand, Natl Inst Theoret Phys, Dept Phys, ZA-2050 Johannesburg, South Africa
[2] Univ Witwatersrand, Ctr Theoret Phys, ZA-2050 Johannesburg, South Africa
[3] Stellenbosch Inst Adv Studies, Stellenbosch, South Africa
[4] Univ Cape Town, Astrophys Cosmol & Grav Ctr, ZA-7700 Rondebosch, South Africa
[5] Univ Cape Town, Dept Math & Appl Math, ZA-7700 Rondebosch, South Africa
[6] Natl Inst Theoret Phys, ZA-7602 Matieland, South Africa
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 05期
基金
新加坡国家研究基金会;
关键词
Gauge-gravity correspondence; D-branes; AdS-CFT Correspondence; 1/N Expansion; ADS/CFT INTEGRABILITY;
D O I
10.1007/JHEP05(2012)037
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
In this article we consider gauge theories with a U(N) x U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi-fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate non-planar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a large N but non-planar limit of the theory.
引用
收藏
页数:16
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