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
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
  • [21] RENORMALIZABLE N = 2 SUPERSYMMETRIC GAUGE-THEORIES
    MARCULESCU, S
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1988, 36 (05): : 335 - 359
  • [22] On the beta function in supersymmetric gauge theories
    Carlino, G
    Konishi, K
    Maggiore, N
    Magnoli, N
    PHYSICS LETTERS B, 1999, 455 (1-4) : 171 - 178
  • [23] PHASES OF N=1 SUPERSYMMETRIC GAUGE-THEORIES IN 4-DIMENSIONS
    INTRILIGATOR, K
    SEIBERG, N
    NUCLEAR PHYSICS B, 1994, 431 (03) : 551 - 565
  • [24] 1/N EXPANSION IN N=2 SUPERSYMMETRIC THEORIES IN 2 DIMENSIONS
    HIGASHIJIMA, K
    OHTA, N
    OKADA, Y
    UEMATSU, T
    YASUDA, O
    PHYSICS LETTERS B, 1983, 126 (06) : 459 - 462
  • [25] Instantons and non-perturbative dynamics of N=2 supersymmetric Abelian gauge theories in two dimensions
    Penin, AA
    NUCLEAR PHYSICS B, 1998, 532 (1-2) : 83 - 98
  • [26] A relation between N=8 gauge theories in three dimensions
    Sethi, S
    JOURNAL OF HIGH ENERGY PHYSICS, 1998, (11):
  • [27] BPS boojums in N=2 supersymmetric gauge theories II
    Arai, Masato
    Blaschke, Filip
    Eto, Minoru
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2017, 2017 (03):
  • [28] S-duality in N=2 supersymmetric gauge theories
    Argyres, Philip C.
    Seiberg, Nathan
    JOURNAL OF HIGH ENERGY PHYSICS, 2007, (12):
  • [29] CHIRAL TRACE RELATIONS IN N=2*SUPERSYMMETRIC GAUGE THEORIES
    Fachechi, A.
    Macorini, G.
    Beccaria, M.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 196 (03) : 1282 - 1293
  • [30] The a-function in six dimensions
    J. A. Gracey
    I. Jack
    C. Poole
    Journal of High Energy Physics, 2016