论文标题
混合异常，两组，不可逆转的对称性和3D超符合指标
Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
论文作者
论文摘要
事实证明，混合异常，较高形式的对称性，两组对称性和不可变形的对称性对于在量子场理论的动力学上提供非平凡的约束很有用。我们研究了涉及离散零形式全局对称性的混合异常，并且可能是一种单一形式的对称性，以3D $ \ MATHCAL {n} \ geq 3 $ geq 3 $ geq 3 $ geq 3 $ geq理论使用SuperConformal索引。通过多种理论（包括Chern-Simons-Mart-Martiment），例如$ \ mathrm {u}（1）_K $ g $ gauge理论，具有多种指控的超数，$ t（\ mathrm {su}（su}（su}（n））$ gaiotto-the the Gaiotto-wenter-with gaiotto-the the Gaiotto-wenter， $ \ mathfrak {so}（2n）_ {2K} $量表代数和矢量表示中的超杀量，以及带有正态截态元素的Aharony-Bergman-Jafferis（ABJ）理论的变体。测量其中一些模型的适当全局对称性，我们获得了具有不可矛盾的对称性或两组结构的各种有趣的理论。
Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete zero-form global symmetries, and possibly a one-form symmetry, in 3d $\mathcal{N} \geq 3$ gauge theories using the superconformal index. The effectiveness of this method is demonstrated via several classes of theories, including Chern-Simons-matter theories, such as the $\mathrm{U}(1)_k$ gauge theory with hypermultiplets of diverse charges, the $T(\mathrm{SU}(N))$ theory of Gaiotto-Witten, the theories with $\mathfrak{so}(2N)_{2k}$ gauge algebra and hypermultiplets in the vector representation, and variants of the Aharony-Bergman-Jafferis (ABJ) theory with the orthosymplectic gauge algebra. Gauging appropriate global symmetries of some of these models, we obtain various interesting theories with non-invertible symmetries or two-group structures.
