超对称格点规范理论的轨道折叠分类
Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
摘要:
我们提供了一个一般分类的超对称格点规范理论,可以从轨道折叠的理论与四个和八个超荷。我们施加至少一个保存的超荷的晶格和洛伦兹不变性在朴素的连续极限。从四个超荷出发,我们得到一个二维格点规范理论,与文献中已给出的理论完全相同。从八个超荷出发,我们得到了唯一的三维格点规范理论和无穷多个二维格点规范理论。它们可以分为七个不同的组,其中五个组有两个保存的增压器,而其他组只有一个。
英文摘要:
We provide a general classification of supersymmetric lattice gauge theories that can be obtained from orbifolding of theories with four and eight supercharges. We impose at least one preserved supercharge on the lattice and Lorentz invariance in the naive continuum limit. Starting with four supercharges, we obtain one two-dimensional lattice gauge theory, identical to the one already given in the literature. Starting with eight supercharges, we obtain a unique three-dimensional lattice gauge theory and infinitely many two-dimensional lattice theories. They can be classified according to seven distinct groups, five of which have two preserved supercharges while the others have only one.
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