论文标题
3d $ \ Mathcal {n} = 2 $ $ $ su(n)_k $ Chern-simons仪表理论带有手性质内容的库仑分支
Coulomb branch in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge theories with chiral matter content
论文作者
论文摘要
我们在3D $ \ MATHCAL {n} = 2 $ $ su(n)_K $ Chern-Simons仪表理论的量子模量空间中详细说明,具有$ f $ untagemental和$ \ bar {f} $ antimant oftimantaltental satements fields。库仑分支上的量子平坦方向与经典的量子差异很大,与矢量般的理论之一。在许多情况下,库仑分支由衣服的单孔参数化。从超级符号索引的计算中可以找到,这些穿着的操作员一见钟情似乎是由大型基础田地的打扮,似乎对低能物理学并没有贡献。我们认为,这些衣着的田野可以被解释为一个由无质量物质田地穿着(或不打扮)的非亚洲单子。基于此分析,我们将与非平凡的单极操作员报告S-confinect阶段,这与双重性建议一致\ cite \ cite {aharony:2014uya,aharony:aharony:2013dha}。在这些研究中,我们发现在\ cite {aharony:2014uya}中报道的二元性必须在$ k = \ pm \ frac {1} {2} {2}(f- \ bar {f})$时进行修改,以便拥有Baryonic操作员的正确偶性图。
We elaborate on quantum moduli spaces in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental matter fields. The quantum flat direction on the Coulomb branch differs so much from the classical one and from the one of the vector-like theories. In many cases, the Coulomb branch is parametrized by the dressed monopoles. As is found from the computation of the superconformal index, these dressed operators at first sight appear to be dressed by massive elementary fields which don't seem to contribute to the low-energy physics. We argue that these dressed fields can be interpreted as a non-abelian monopole dressed (or not dressed) by massless matter fields. Based on this analysis, we will report on the s-confinement phases with non-trivial monopole operators, which is consistent with the duality proposals \cite{Aharony:2014uya, Aharony:2013dha}. Along these studies, we find that the duality reported in \cite{Aharony:2014uya} must be modified when $k=\pm \frac{1}{2}(F-\bar{F})$ in order to have a correct duality map of the baryonic operators.