论文标题
具有密度谱的大N超符号理论的分类
Classification of large N superconformal gauge theories with a dense spectrum
论文作者
论文摘要
我们将四维超对称仪表理论的较大$ n $限制与简单的量规组进行分类，这些量规组流向超符号固定点。我们将自己限制在没有超电势且具有固定风味对称性的那些人身上。我们总共找到了35个类，其中8个具有密集的手性量规不变运算符。中央收费$ a $ a $ a $ c $的密度理论在$ n $中呈线性增长，与稀疏频谱的理论的$ n^2 $增长形成对比。中央费用$ a-c $之间的差异都可以具有两个标志，并且它在密集理论的$ n $限制中不会消失。我们发现可以有多个频段被缝隙隔开，也可以在频段上方的离散频谱分开。我们还找到了有关固定点理论具有致密或稀疏频谱的标准。我们发现了一些关于超对称RG流和$ $毫米的奇怪方面。对于所有具有密集频谱的理论，广告版本的弱重力猜想（包括具有多个$ u（1）$的案例的凸形船体状况，即使它们没有弱耦合的重力双重二元。
We classify the large $N$ limits of four-dimensional supersymmetric gauge theories with simple gauge groups that flow to superconformal fixed points. We restrict ourselves to the ones without a superpotential and with a fixed flavor symmetry. We find 35 classes in total, with 8 having a dense spectrum of chiral gauge-invariant operators. The central charges $a$ and $c$ for the dense theories grow linearly in $N$ in contrast to the $N^2$ growth for the theories with a sparse spectrum. The difference between the central charges $a-c$ can have both signs, and it does not vanish in the large $N$ limit for the dense theories. We find that there can be multiple bands separated by a gap, or a discrete spectrum above the band. We also find a criterion on the matter content for the fixed point theory to possess either a dense or sparse spectrum. We discover a few curious aspects regarding supersymmetric RG flows and $a$-maximization along the way. For all the theories with the dense spectrum, the AdS version of the Weak Gravity Conjecture (including the convex hull condition for the cases with multiple $U(1)$'s) holds for large enough $N$ even though they do not have weakly-coupled gravity duals.
