论文标题
3D类R理论的红外阶段
Infrared phases of 3D Class R theories
论文作者
论文摘要
我们研究了与封闭的非纤维3个manifolds相关的3D类R理论的IR阶段。可以通过沿特殊斜率在1 cused双曲线3型脉冲上进行dehn填充物来获得非纤维3个manifolds。在3D-3D的对应关系中，“异常” dehn填充对应于与1 cused 3型Manifold相关的超符合场理论中的$ su（2）$风味对称性的测量。通过几个明确的例子，我们分析了从“异常”测量值分析各种有趣的非扰动IR现象（例如自发的Susy Breaking，质量间隙和超对称性增强）。有趣的是，IR相的杰出特征可以通过非纤维3个manifolds的简单拓扑特性来捕获。我们还发现，与某些类别的atoroidal非纤维3个序列相关的3D类R理论总是在低能量下表现出超对称性增强，并且实际上流到了带有Trivial Vacuum Moduli空间的3D Rank-0 $ \ Mathcal {n} = 4 $ scfts。
We study the IR phases of 3D class R theories associated with closed non-hyperbolic 3-manifolds. Non-hyperbolic 3-manifolds can be obtained by performing Dehn fillings on 1-cusped hyperbolic 3-manifolds along exceptional slopes. In 3D-3D correspondence, the `exceptional' Dehn filling corresponds to the gauging of an $SU(2)$ flavor symmetry in a superconformal field theory associated with a 1-cusped 3-manifold with `small' Chern-Simons levels. With several explicit examples, we analyze various interesting non-perturbative IR phenomena (such as spontaneous SUSY breaking, generation of mass gap and supersymmetry enhancement) from the `exceptional' gaugings. Interestingly, distinguished features of the IR phases can be captured by simple topological properties of non-hyperbolic 3-manifolds. We also find that 3D class R theories associated with certain classes of atoroidal non-hyperbolic 3-manifolds always exhibit supersymmetry enhancement at low energy and actually flow to 3D rank-0 $\mathcal{N}=4$ SCFTs with trivial vacuum moduli space.
