论文标题
5D F理论的证据
Evidence for a 5d F-theorem
论文作者
论文摘要
在由$（P，Q）$ 5 Brane网设计的5D SCFTS之间研究了重新归一化的组流量，其中有大量的外部5型玻璃。在单值三元素函数方面，自由能在$ s^5 $上的一般表达式源自其超级二元双重二，其特征在于5-桥梁电荷和其他几何参数。附加的几何参数是通过规律条件固定的，我们表明规律性条件的解决方案极大化了试验自由能。这些结果用于调查大量$ \ MATHCAL O（10^5）$重新归一化组在不同的5D SCFT之间流动，包括Higgs分支流和保留$ SU（2）$ $ $ r $ symmetry的流量。在所有情况下，自由能以5d $ f $ theorem的形式单调地向红外线变化。
Renormalization group flows are studied between 5d SCFTs engineered by $(p,q)$ 5-brane webs with large numbers of external 5-branes. A general expression for the free energy on $S^5$ in terms of single-valued trilogarithm functions is derived from their supergravity duals, which are characterized by the 5-brane charges and additional geometric parameters. The additional geometric parameters are fixed by regularity conditions, and we show that the solutions to the regularity conditions extremize a trial free energy. These results are used to survey a large sample of $\mathcal O(10^5)$ renormalization group flows between different 5d SCFTs, including Higgs branch flows and flows that preserve the $SU(2)$ $R$-symmetry. In all cases the free energy changes monotonically towards the infrared, in line with a 5d $F$-theorem.
