We study the holographic dual to $c$-extremization for 2d $(0,2)$ superconformal field theories (SCFTs) that have an AdS$_3$ dual realized in Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that such AdS$_3$ solutions can be mapped to AdS$_2$ solutions in M-theory, which are holographically dual to superconformal quantum mechanics (SCQM), obtained by dimensional reduction of the 2d SCFTs. We analyze the corresponding map between holographic $c$-extremization in F-theory and $\mathcal{I}$-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.

中文翻译：

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M / F对偶中的$ \ mathcal {I} $ / $ c $-极端化

我们研究了二维d（0,2）$超保形场论（SCFT）的全息对偶至$ c $极值化，该理论在类型IIB中实现了具有AdS $ _3 $对偶，且轴距-dilaton有所不同，即F-理论。M / F对偶性意味着可以将此类AdS $ _3 $解决方案映射到M-理论中的AdS $ _2 $解决方案，该解决方案在全息上与通过二维SCFT尺寸缩减获得的超共形量子力学（SCQM）双重。我们分析了F理论中的全息$ c $极值化与M理论中的$ \ mathcal {I} $极值化之间的对应图，其中后者通常相对于F理论结果得到校正。