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arXiv · 2004.04020

$\mathcal{I}$/$c$-Extremization in M/F-Duality

Marieke van Beest·Sebastjan Cizel·Sakura Schafer-Nameki·James Sparks
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Abstract

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.

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Marieke van Beest, Sebastjan Cizel, Sakura Schafer-Nameki, James Sparks. 2020-04-08. $\mathcal{I}$/$c$-Extremization in M/F-Duality. https://doi.org/10.21468/scipostphys.9.3.029

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