$\mathcal{I}$/$c$-extremization in M/F-duality

Abstract

We study the holographic dual to cc-extremization for 2d (0,2)(0,2) superconformal field theories (SCFTs) that have an AdS_33 dual realized in Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that such AdS_33 solutions can be mapped to AdS_22 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 cc-extremization in F-theory and \mathcal{I}ℐ-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.