a-function for N=2 supersymmetric gauge theories in three dimensions

被引：5
|
作者：
Gracey, J. A. [1 ]
Jack, I. [1 ]
Poole, C. [1 ]
Schroder, Y. [2 ]
机构：
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
[2] Univ Bio Bio, Grp Fis Altas Energias, Casilla 447, Chillan, Chile
来源：
PHYSICAL REVIEW D | 2017年 / 95卷 / 02期
关键词：
RENORMALIZABLE FIELD-THEORIES; MULTILOOP FEYNMAN-INTEGRALS; C-THEOREM; DIFFERENCE-EQUATIONS; MATTER; SYSTEMS;
D O I：
10.1103/PhysRevD.95.025005
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Recently, the existence of a candidate a-function for renormalizable theories in three dimensions was demonstrated for a general theory at leading order and for a scalar-fermion theory at next-to-leading order. Here we extend this work by constructing the a-function at next-to-leading order for an N = 2 supersymmetric Chern-Simons theory. This increase in precision for the a-function necessitated the evaluation of the underlying renormalization-group functions at four loops.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Aspects of N=2 supersymmetric gauge theories in three dimensions
    Aharony, O
    Hanany, A
    Intriligator, K
    Seiberg, N
    Strassler, MJ
    NUCLEAR PHYSICS B, 1997, 499 (1-2) : 67 - 99
  • [2] Dynamics of N = 2 supersymmetric gauge theories in three dimensions
    deBoer, J
    Hori, K
    Oz, Y
    NUCLEAR PHYSICS B, 1997, 500 (1-3) : 163 - 191
  • [3] Supersymmetric gauge theories in three dimensions
    Bergshoeff, Eric A.
    Hohm, Olaf
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2009, 57 (5-7): : 338 - 347
  • [4] The a-function for gauge theories
    I. Jack
    C. Poole
    Journal of High Energy Physics, 2015
  • [5] The a-function for gauge theories
    Jack, I.
    Poole, C.
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (01):
  • [6] Branes and mirror symmetry in N=2 supersymmetric gauge theories in three dimensions
    deBoer, J
    Hori, K
    Oz, Y
    Yin, Z
    NUCLEAR PHYSICS B, 1997, 502 (1-2) : 107 - 124
  • [7] N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions
    Hutomo, Jessica
    Kuzenko, Sergei M.
    Ogburn, Daniel
    PHYSICAL REVIEW D, 2018, 98 (12)
  • [8] SUPERSYMMETRIC GAUGE THEORIES IN 2 DIMENSIONS
    FERRARA, S
    LETTERE AL NUOVO CIMENTO, 1975, 13 (17): : 629 - 635
  • [9] Singular monopoles and supersymmetric gauge theories in three dimensions
    Cherkis, SA
    Kapustin, A
    NUCLEAR PHYSICS B, 1998, 525 (1-2) : 215 - 234
  • [10] N = 1 supersymmetry and the three-loop gauge a-function
    Jack, I.
    Jones, D. R. T.
    North, C. G.
    Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, 386 (1-4):
12345