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

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.

45 pages, v2: references added

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• Electrostatic Description of Five-dimensional SCFTs
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• Holographic description of SCFT${}_5$ compactifications
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds