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arXiv 2103.16094hep-th
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基于AdS/CFT correspondence的六维${\cal N}=(1,0)$理论的味对称性

Flavor symmetries of six-dimensional ${\cal N}=(1,0)$ theories from AdS/CFT correspondence

Shota Fujiwara, Yosuke Imamura, Tatsuya Mori

备注：
18 pages, 1 figure; ver2: references added; ver3: references added, version accepted for publication in JHEP
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摘要：

利用作者和合作者在以前工作中发展的方法，计算了一类实现在M5-膜上的六维${\cal N}=(1,0)$超共形场论在$\mathbb{C}^2/\mathbb{Z}_k$奇点处的超共形指数.我们使用AdS/CFT对应，并将有限$N$修正作为包裹在$S^4/\mathbb{Z}_k$中两圈上的M2-膜的贡献。我们确认，指数是符合预期的风味对称性。

英文摘要：

We calculate the superconformal indices of a class of six-dimensional ${\cal N}=(1,0)$ superconformal field theories realized on M5-branes at $\mathbb{C}^2/\mathbb{Z}_k$ singularity by using the method developed in previous works of the authors and collaborators. We use the AdS/CFT correspondence, and finite $N$ corrections are included as the contribution of M2-branes wrapped on two-cycles in $S^4/\mathbb{Z}_k$. We confirm that the indices are consistent with the expected flavor symmetries.

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