论文标题
沿着希格斯树木形成的韦伊尔不变的雅各比
Weyl invariant Jacobi forms along Higgsing trees
论文作者
论文摘要
使用拓扑字符串技术，我们计算5D量规理论的BPS计数函数，该函数从圆圈紧凑型从6D超符号理论降下。这样的理论是根据希格斯树木的节点自然组织的。我们证明，随着我们从牙冠移动到树的根部，分区函数的专业化是由Weyl不变性雅各比形式之间的同构决定的。我们的计算是通过以下事实来可行的：量规理论的对称性增强在无数频谱上表现出来是BPS颗粒的整个塔遗传的。在某些情况下，这些对称性增强与相关轨距理论的1形对称性有很好的关系。
Using topological string techniques, we compute BPS counting functions of 5d gauge theories which descend from 6d superconformal field theories upon circle compactification. Such theories are naturally organized in terms of nodes of Higgsing trees. We demonstrate that the specialization of the partition function as we move from the crown to the root of a tree is determined by homomorphisms between rings of Weyl invariant Jacobi forms. Our computations are made feasible by the fact that symmetry enhancements of the gauge theory which are manifest on the massless spectrum are inherited by the entire tower of BPS particles. In some cases, these symmetry enhancements have a nice relation to the 1-form symmetry of the associated gauge theory.
