Dual superconformal symmetry of $ mathcal{N} = 6 $ Chern-Simons theory

Dual superconformal symmetry of $ mathcal{N} = 6 $ Chern-Simons theory
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$ mathcal{N} = 6 $ Chern-Simons 理论的对偶超共形对称性

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
A. Lipstein
A. Lipstein
中科院分区:
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文献类型:
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作者:
Yu;A. Lipstein

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我们证明了$ mathcal{N} = 6 $超共形Chern-Simons理论(ABJM)的四点和六点树级振幅具有OSp(6|4)对偶超共形对称性,如果将对偶超空间扩大到包含三个额外的grassmann -偶坐标(对应于CP3的阿贝尔等距)。这些坐标的包含使我们能够在作用于壳上振幅时将非平凡对偶超共形发生器与一级Yangian发生器匹配起来。我们还讨论了对偶共形对称性对环级振幅的一些含义。
We demonstrate that the four and six-point tree-level amplitudes of $ mathcal{N} = 6 $ superconformal Chern-Simons theory (ABJM) enjoy OSp(6|4) dual superconformal symmetry if one enlarges the dual superspace to include three additional Grassmann-even coordinates which correspond to an abelian isometry of CP3. The inclusion of these coordinates enables us to match the nontrivial dual superconformal generators with level-one Yangian generators when acting on on-shell amplitudes. We also discuss some implications of dual conformal symmetry for loop-level amplitudes.
DOI: 10.1088/1126-6708/2009/05/046
发表时间: 2009-02
影响因子: 5.4
作者:
J. Drummond;J. Henn;J. Plefka
通讯作者: J. Drummond;J. Henn;J. Plefka