论文标题
在3d $t_ρ^σ[su（n）] $的平面极限上
On the planar limit of 3d $T_ρ^σ[SU(N)]$
论文作者
论文摘要
我们讨论了3D $t_ρ^σ[su（n）] $ Quiver仪表的限制，其中节点的数量很大，并且随震颤的长度四范围的级别尺度四边形。使用超对称定位获得球体自由能和拓扑扭曲的指标。两者都在Quiver的长度上进行四次缩放，并在$ N $的情况下进行四次缩放，而Trilogarithm的功能取决于Quiver数据作为系数。 IR SCFT在IIB型中具有表现良好的超级重力双二，并且自由能与全息结果完全匹配。先前讨论了$ n^2 \ ln n $缩放的理论作为限制案例。每个平衡的3D颤动理论都与5D父的联系，其矩阵模型与同一鞍点相关并主导，从而导致BPS可观察到的密切关系。
We discuss a limit of 3d $T_ρ^σ[SU(N)]$ 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.
