论文标题
Abelian 3d $ \ Mathcal {n} = 2 $理论的镜子对称和混合Chern-Simons级
Mirror Symmetry and Mixed Chern-Simons Levels for Abelian 3d $\mathcal{N} = 2$ theories
论文作者
论文摘要
We study the mirror symmetry of abelian 3d $\mathcal{N}=2$ theories with mixed Chern-Simons levels by turning them into $\mathcal{T}_{A,N}$ theories that are defined as $N$ copies of $U(1)-[1]$ theory coupled together by mixed Chern-Simons levels $k_{ij}$.我们发现$ \ Mathcal {t} _ {a，n} $理论具有许多镜面双重理论，具有不同的混合CS级别和FI参数。例如，我们分析$ u（1）_k + n_c \，\ Mathbf {c} + n_ {ac} \，\ Mathbf {ac} $理论，通过将这些理论转换为某些$ \ Mathcal {t} _ {t} _ {a，n} $ theories，并找到许多等等的chern-simons级别。最后，我们分析了与结相对应的理论的镜像对称性。在这项工作中，我们使用球形分区函数和涡流分区功能来得出双重理论。
We study the mirror symmetry of abelian 3d $\mathcal{N}=2$ theories with mixed Chern-Simons levels by turning them into $\mathcal{T}_{A,N}$ theories that are defined as $N$ copies of $U(1)-[1]$ theory coupled together by mixed Chern-Simons levels $k_{ij}$. We find that $\mathcal{T}_{A,N}$ theories have many mirror dual theories with different mixed CS levels and FI parameters. As an example, we analyze $U(1)_k+ N_C \,\mathbf{C} + N_{AC} \, \mathbf{AC}$ theories by transforming these theories into certain $\mathcal{T}_{A,N}$ theories and find many equivalent effective Chern-Simons levels. Finally, we analyze mirror symmetry for theories corresponding to knots. In this work we use sphere partition functions and vortex partition functions to derive dual theories.
