Finite-N corrections to the superconformal index of S-fold theories
Finite-N corrections to the superconformal index of S-fold theories
复制标题
对 S 折理论超共形指数的有限 N 修正
DOI：
10.1093/ptep/ptz088
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发表时间：
2019
影响因子：
3.5
通讯作者：
Y. Imamura
中科院分区：
文献类型：
--
作者：
Reona Arai;Y. Imamura
我们利用反德西特/共形场论对应研究S折叠理论的超共形指数。众所周知，大$N$极限中的指数被再现为体卡鲁扎-克莱因模式的贡献。对于有限$N$，D3-膜包裹在$\boldsymbol{S}^5/\mathbb{Z}_k$中的非平凡循环中，对应于类似普法夫算子，对索引给出$q^N$阶的修正。我们通过分析包裹的 D3 膜的波动来计算有限 $N$ 修正。与已知结果的比较表明，我们的公式正确地再现了 $q^{2N}$ 阶错误的修正。
We study the superconformal index of S-fold theories by using the anti-de Sitter / conformal field theory correspondence. It is known that the index in the large-$N$ limit is reproduced as the contribution of bulk Kaluza–Klein modes. For finite-$N$, D3-branes wrapped around the non-trivial cycle in $\boldsymbol{S}^5/\mathbb{Z}_k$, which corresponds to Pfaffian-like operators, give the corrections of order $q^N$ to the index. We calculate the finite-$N$ corrections by analyzing the fluctuations of wrapped D3-branes. Comparisons to known results show that our formula correctly reproduces the corrections up to errors of order $q^{2N}$.