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arXiv 1401.6902hep-th
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非对易${\cal N}=2$ Chern-Simons物质模型

Noncommutative ${\cal N}=2$ Chern-Simons-matter model

L. Ibiapina Bevilaqua, A. C. Lehum

备注：
17 pages, 2 figures
发表信息：
Phys.Rev. D89 (2014) 045014
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摘要：

本文研究了非对易时空中三维${\cal N}=2$超对称Chern-Simons-matter模型。通过降维四维${\cal N}=1$超多重态，构造了非对易$U(N)$非阿贝尔模型在显式${\cal N}=2$超变量下的作用量.我们还得到了用${\cal N}=1$超场表示的在壳层${\cal N}=2$超对称模型。在非交换阿贝尔的情况下，我们表明，线性UV发散被取消费曼图和对数发散不存在一个循环的顺序，说明我们的模型是免费的UV/IR混合。

英文摘要：

In this work we study the three-dimensional ${\cal N}=2$ supersymmetric Chern-Simons-matter model in a noncommutative space-time. We construct the action of the noncommutative $U(N)$ non-Abelian model in terms of explicit ${\cal N}=2$ supervariables by dimensionally reducing a four-dimensional ${\cal N}=1$ supermultiplet. We also obtain the on-shell ${\cal N}=2$ supersymmetric model writing it in terms of ${\cal N}=1$ superfields. In the noncommutative Abelian case, we show that linear UV divergences are cancelled in Feynman diagrams and logarithmic divergences are absent up to one-loop order, stating that our model is free of UV/IR mixing.

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