VOAs and Rank-Two Instanton SCFTs
VOAs and Rank-Two Instanton SCFTs
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DOI：
10.1007/s00220-020-03746-9
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发表时间：
2020-03-30
影响因子：
2.4
通讯作者：
Rastelli, Leonardo
中科院分区：
文献类型：
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作者：
Beem, Christopher;Meneghelli, Carlo;Rastelli, Leonardo
我们从相关顶点算子代数的角度分析了当一对D3膜探测F理论奇异性时出现的N=2超共形场论。我们确定这些顶点算子代数的所有情况下，我们发现，他们有一个完全统一的描述，参数化的对偶Coxeter数相应的全球对称群。我们进一步提出了自由场实现这些代数的风格，最近的工作由三位作者。这些实现透明地反映了这些理论的希格斯分支的代数结构。我们发现四阶线性模块化微分方程的真空字符/舒尔指数的这些理论，这是再次统一的整个家庭的理论和参数化的双考克斯特数。我们简要地评论一下对更高级别的情况的期望。
We analyze the N=2 superconformal field theories that arise when a pair of D3-branes probe an F-theory singularity from the perspective of the associated vertex operator algebra. We identify these vertex operator algebras for all cases; we find that they have a completely uniform description, parameterized by the dual Coxeter number of the corresponding global symmetry group. We further present free field realizations for these algebras in the style of recent work by three of the authors. These realizations transparently reflect the algebraic structure of the Higgs branches of these theories. We find fourth-order linear modular differential equations for the vacuum characters/Schur indices of these theories, which are again uniform across the full family of theories and parameterized by the dual Coxeter number. We comment briefly on expectations for the still higher-rank cases.