The quantum 1/2 BPS Wilson loop in N=4$$ \mathcal{N}=4 $$ Chern-Simons-matter theories
The quantum 1/2 BPS Wilson loop in N=4$$ \mathcal{N}=4 $$ Chern-Simons-matter theories
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DOI：
10.1007/jhep09(2016)009
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发表时间：
2016-06
影响因子：
5.4
通讯作者：
M. S. Bianchi;L. Griguolo;M. Leoni;A. Mauri;S. Penati;D. Seminara
中科院分区：
文献类型：
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作者：
M. S. Bianchi;L. Griguolo;M. Leoni;A. Mauri;S. Penati;D. Seminara
在三维Chern-Simons物质理论中，可以定义两个独立的费米子Wilson圈算符，它们保持一半的超对称荷，并且在经典水平上是上同调等价的。我们计算了它们在一个方便的色扇区中的三圈期望值，并证明了量子修正可以提高简并度。我们扩展了矩阵模型的预测在同一制度和比较，我们得出结论，量子1/2 BPS威尔逊环是两个运营商的平均。我们提供了一个全循环参数来支持这一主张在任何顺序。作为一个副产品，我们确定在三个循环的本地化结果作为一个校正的框架因素引起的物质相互作用。最后，我们评论了定义为两个费米子环之差的非1/2BPS Wilson环算符的量子性质。
In three dimensionalChern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.