A systematic study on matrix models for Chern-Simons-matter theories

被引:14
|
作者
Suyama, Takao [1 ,2 ]
机构
[1] Seoul Natl Univ, Res Inst Basic Sci, Seoul 151747, South Korea
[2] Seoul Natl Univ, Ctr Theoret Phys, Seoul 151747, South Korea
基金
新加坡国家研究基金会;
关键词
ORDINARY DIFFERENTIAL-EQUATIONS; LARGE N SOLUTION; GAUGE-THEORY; O(N) MODEL; RIEMANN; DEFORMATION;
D O I
10.1016/j.nuclphysb.2013.06.008
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 investigate the planar solution of matrix models derived from various Chem-Simons-matter theories compatible with the planar limit. The saddle-point equations for most of such theories can be solved in a systematic way. A relation to Fuchsian systems play an important role in obtaining the planar resolvents. For those theories, the eigenvalue distribution is found to be confined in a bounded region even when the 't Hooft couplings become large. As a result, the vevs of Wilson loops are bounded in the large 't Hooft coupling limit. This implies that many of Chem-Simons-matter theories have quite different properties from ABJM theory. If the gauge group is of the form U(N-1)k(1) x U(N-2)(k2), then the resolvents can be obtained in a more explicit form than in the general cases. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:528 / 566
页数:39
相关论文
共 50 条
  • [31] Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
    Tierz, Miguel
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (04):
  • [32] CHERN-SIMONS-MATTER THEORY
    Faizal, Mir
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2013, 28 (5-6):
  • [33] A string dual for partially topological Chern-Simons-matter theories
    Ofer Aharony
    Andrey Feldman
    Masazumi Honda
    Journal of High Energy Physics, 2019
  • [34] On the gravity dual of Chern-Simons-matter theories with unquenched flavor
    Eduardo Conde
    Alfonso V. Ramallo
    Journal of High Energy Physics, 2011
  • [35] Bootstrapping smooth conformal defects in Chern-Simons-matter theories
    Gabai, Barak
    Sever, Amit
    Zhong, De-liang
    JOURNAL OF HIGH ENERGY PHYSICS, 2024, 2024 (03)
  • [36] A string dual for partially topological Chern-Simons-matter theories
    Aharony, Ofer
    Feldman, Andrey
    Honda, Masazumi
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (06)
  • [37] N=2 Chern-Simons-matter theories without vortices
    Russo, Jorge G.
    Schaposnik, Fidel A.
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (07):
  • [38] Flows, fixed points and duality in Chern-Simons-matter theories
    Ofer Aharony
    Sachin Jain
    Shiraz Minwalla
    Journal of High Energy Physics, 2018
  • [39] Strong coupling limit of a family of Chern-Simons-matter theories
    Suyama, Takao
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (01):
  • [40] Monopole operators in U(1) Chern-Simons-matter theories
    Chester, Shai M.
    Iliesiu, Luca V.
    Mezei, Mark
    Pufa, Silviu S.
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (05):