Integrability of orbifold ABJM theories

被引：5
|
作者：
Bai, Nan [1 ,2 ]
Chen, Hui-Huang [1 ,2 ]
Ding, Xiao-Chen [3 ]
Li, De-Sheng [1 ,2 ]
Wu, Jun-Bao [1 ,2 ,4 ,5 ,6 ]
机构：
[1] Chinese Acad Sci, Inst High Energy Phys, 19B Yuquan Rd, Beijing 100049, Peoples R China
[2] Chinese Acad Sci, Theoret Phys Ctr Sci Facil, 19B Yuquan Rd, Beijing 100049, Peoples R China
[3] Capital Normal Univ, Sch Math Sci, 105 North Rd West 3rd Ring, Beijing 100048, Peoples R China
[4] Beihang Univ, Sch Phys, 37 Xueyuan Rd, Beijing 100191, Peoples R China
[5] Peking Univ, Ctr High Energy Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China
[6] Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 11期
关键词：
AdS-CFT Correspondence; Bethe Ansatz; SPIN CHAIN; ADS/CFT INTEGRABILITY; GAUGE-THEORY; DEFORMATIONS; STRINGS; LIMIT; SYM;
D O I：
10.1007/JHEP11(2016)101
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：
Integrable structure has played a very important role in the study of various non-perturbative aspects of planar Aharony-Bergman-Jafferis-Maldacena (ABJM) theories. In this paper, we showed that this remarkable structure survives after orbifold operation with discrete group Gamma < SU(4)(R) x U(1)(b). For general Gamma(similar or equal to Z(n)), we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations (BAEs). The eigenvalues of the anomalous dimension matrix are also obtained. For Gamma < SU(4), two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discussed in this framework.
引用
收藏
页数：35
相关论文
共 50 条
  • [31] Finite N corrections to the superconformal index of orbifold quiver gauge theories
    Reona Arai
    Shota Fujiwara
    Yosuke Imamura
    Tatsuya Mori
    Journal of High Energy Physics, 2019
  • [32] Integrability of classical strings dual for noncommutative gauge theories
    Matsumoto, Takuya
    Yoshida, Kentaroh
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (06):
  • [33] Finite N corrections to the superconformal index of orbifold quiver gauge theories
    Arai, Reona
    Fujiwara, Shota
    Imamura, Yosuke
    Mori, Tatsuya
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (10)
  • [34] Note on integrability of marginally deformed ABJ(M) theories
    Song He
    Jun-Bao Wu
    Journal of High Energy Physics, 2013
  • [35] Non-integrability in non-relativistic theories
    Dimitrios Giataganas
    Konstadinos Sfetsos
    Journal of High Energy Physics, 2014
  • [36] On the integrability of planar N=2 superconformal gauge theories
    Gadde, Abhijit
    Liendo, Pedro
    Rastelli, Leonardo
    Yan, Wenbin
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (08):
  • [37] Two-loop cusp anomaly in ABJM at strong coupling
    Bianchi, Lorenzo
    Bianchi, Marco S.
    Bres, Alexis
    Forini, Valentina
    Vescovi, Edoardo
    JOURNAL OF HIGH ENERGY PHYSICS, 2014, (10):
  • [38] TOWARD AN ANALYTIC PERTURBATIVE SOLUTION FOR THE ABJM QUANTUM SPECTRAL CURVE
    Lee, R. N.
    Onishchenko, A. I.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2019, 198 (02) : 256 - 270
  • [39] Beyond the planar limit in ABJM
    Koch, Robert de Mello
    Mohammed, Badr Awad Elseid
    Murugan, Jeff
    Prinsloo, Andrea
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (05):
  • [40] Integrability of zero-dimensional replica field theories at β=1
    Vidal, Pedro
    Kanzieper, Eugene
    PHYSICAL REVIEW E, 2013, 88 (03):
12345