A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry (〔素粒子論グループ〕SUMMER INSTITUTE 2004)

A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry (〔素粒子論グループ〕SUMMER INSTITUTE 2004)
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具有精确超对称性的超杨-米尔斯理论的格子公式([粒子理论组] SUMMER INSTITUTE 2004)

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发表时间:
2003
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通讯作者:
Fumihiko Sugino
Fumihiko Sugino
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作者:
Fumihiko Sugino

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我们在不同维度的超立方晶格上构造了具有扩展超对称性的超杨-米尔斯理论,精确地保持了一个或两个超电荷。规范场用普通的酉链变量来表示,严格的超荷在规范变换下是幂零的。在这些模型中,我们表明,当二维情况=2、4、8时,不需要对参数进行任何微调即可获得所需的连续理论。
We construct super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. Gauge fields are represented by ordinary unitary link variables, and the exact supercharges are nilpotent up to gauge transformations. Among the models, we show that the desired continuum theories are obtained without any fine tuning of parameters for the cases = 2,4,8 in two-dimensions.