Two-dimensional compact N = (2,2) lattice super-Yang-Mills theory with exact supersymmetry

Two-dimensional compact N = (2,2) lattice super-Yang-Mills theory with exact supersymmetry
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具有精确超对称性的二维紧致 N = (2,2) 晶格超杨-米尔斯理论

DOI:
10.1016/j.physletb.2006.02.064
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发表时间:
2006
期刊:
影响因子:
4.4
通讯作者:
Fumihiko Sugino
Fumihiko Sugino
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Fumihiko Sugino

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我们构造了二维N=(2,2)晶格超杨-米尔斯理论,其中规范场和希格斯场都由U(N)紧化变量表示,并沿论文[F]的直线保持一个精确的增压。Sugino, JHEP 0401 (2004) 015, help -lat/0311021, F. Sugino, JHEP 0403 (2004) 067, help -lat/0401017, F. Sugino, JHEP 0501 (2005) 016, help -lat/0410035]。有趣的是,精确超对称以及紧规范场和希格斯场的要求导致规范群U(N)而不是SU(N)。由于采用了微扰重整化理论,该模型不需要任何微调就能符合目标连续体理论。与非紧化希格斯场不同的是,在该模型中沿平坦方向的路径积分得到了很好的定义。
We construct two-dimensional N=(2,2) lattice super-Yang–Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along the line of the papers [F. Sugino, JHEP 0401 (2004) 015, hep-lat/0311021, F. Sugino, JHEP 0403 (2004) 067, hep-lat/0401017, F. Sugino, JHEP 0501 (2005) 016, hep-lat/0410035]. Interestingly, requirements of the exact supersymmetry as well as of the compact gauge and Higgs fields lead to the gauge group U(N) rather than SU(N). As a result of the perturbative renormalization argument, the model is shown to flow to the target continuum theory without any fine-tuning. Different from the case of noncompact Higgs fields, the path integral along the flat directions is well defined in this model.
超杨米尔斯晶格理论的新方法 -精确的费米子对称性和“Ichimatsu”模式-
DOI: --
发表时间: 2003
期刊: JHEP 0302
影响因子: --
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晶格上的精确扩展超对称性:二维扭曲 N=2 超杨米尔斯。
DOI: --
发表时间: 2006
期刊: Phys. Lett B633
影响因子: --
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通讯作者: Kazuhiro Nagata