Mirror symmetry and line operators
Mirror symmetry and line operators
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DOI：
10.1007/jhep02(2020)075
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发表时间：
2019-07
影响因子：
5.4
通讯作者：
Tudor Dimofte;Niklas Garner;M. Geracie;J. Hilburn
中科院分区：
文献类型：
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作者：
Tudor Dimofte;Niklas Garner;M. Geracie;J. Hilburn
研究了三维= 4规范理论中的半bps线算子，重点研究了它们交点处的局部算子代数。已知有两种基本类型的这样的线算子，由它们所保留的SUSY子代数来区分；这两种类型可以大致称为“威尔逊线”和“涡线”，并在三维镜面对称下交换。我们描述了一类可以用基本代数数据表征的涡旋线，并提出了一种数学方案来计算在它们的交界处的局部算子的代数-包括单极算子-根据这些数据。该计算推广了体库仑支手性环的数学和物理定义/分析。在有充分物质的阿贝尔规范理论中，我们对半bps威尔逊线和半bps涡旋线的结点进行了完全分类。我们还在非阿贝尔颤振规范理论中测试了我们的计算方案，使用了来自Assel和Gomis工作的线算子的三维镜像映射。
We study half-BPS line operators in 3d= 4 gauge theories, focusing in particular on the algebras of local operators at their junctions. It is known that there are two basic types of such line operators, distinguished by the SUSY subalgebras that they preserve; the two types can roughly be called “Wilson lines” and “vortex lines,” and are exchanged under 3d mirror symmetry. We describe a large class of vortex lines that can be characterized by basic algebraic data, and propose a mathematical scheme to compute the algebras of local operators at their junctions—including monopole operators—in terms of this data. The computation generalizes mathematical and physical definitions/analyses of the bulk Coulomb-branch chiral ring. We fully classify the junctions of half-BPS Wilson lines and of half-BPS vortex lines in abelian gauge theories with sufficient matter. We also test our computational scheme in a non-abelian quiver gauge theory, using a 3d-mirror-map of line operators from work of Assel and Gomis.