I/c-extremization in M/F-duality

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 I-extremization in M-theory where in general the latter receives corrections relative to the F-theory result.