On the planar limit of 3d $T_\rho^\sigma[SU(N)]$
On the planar limit of 3d $T_\rho^\sigma[SU(N)]$
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在 3d $T_ ho^sigma[SU(N)]$ 的平面极限上
DOI：
10.1007/jhep06(2021)038
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
C. Uhlemann
中科院分区：
文献类型：
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作者：
Lorenzo Coccia;C. Uhlemann
我们讨论 3d $T_\rho^\sigma[SU(N)]$ 箭袋规范理论的极限，其中节点数量很大，并且等级随箭袋长度呈二次方缩放。使用超对称局域化获得球体自由能和拓扑扭曲指数。两者都随箭袋长度呈四次缩放，并随 $N$ 呈二次缩放，并使用取决于箭袋数据作为系数的三对数函数。 IR SCFT 在 IIB 型中具有表现良好的超重力对偶，并且自由能与全息结果精确匹配。之前讨论的 $N^2\ln N$ 缩放理论是作为极限情况出现的。每个平衡 3d 箭袋理论都与一个 5d 父代相关联，其矩阵模型与同一鞍点相关并受同一鞍点支配，从而导致 BPS 可观测量之间存在密切关系。
We discuss a limit of 3d $T_\rho^\sigma[SU(N)]$ quiver gauge theories in which the number of nodes is large and the ranks scale quadratically with the length of the quiver. The sphere free energies and topologically twisted indices are obtained using supersymmetric localization. Both scale quartically with the length of the quiver and quadratically with $N$, with trilogarithm functions depending on the quiver data as coefficients. The IR SCFTs have well-behaved supergravity duals in Type IIB, and the free energies match precisely with holographic results. Previously discussed theories with $N^2\ln N$ scaling arise as limiting cases. Each balanced 3d quiver theory is linked to a 5d parent, whose matrix model is related and dominated by the same saddle point, leading to close relations between BPS observables.
六维超共形理论及其来自 IIA 型超引力的紧致化
影响因子：
8.6
作者：
F. Apruzzi;M. Fazzi;A. Passias;A. Rota;A. Tomasiello
通讯作者：
A. Tomasiello