ABJM at finite N via 4d supergravity

A bstract We apply the conjecture of [1] for gravitational building blocks to effective supergravity description M-theory on S 7 / ℤ k . Utilizing known localization results holographically dual ABJM theory, we determine a complete tower higher derivative corrections AdS 4 and further set quantum corrections. This uniquely fixes block, leading holographic predictions number exact observables, excluding only constant non-perturbative in gauge group rank N The predicted 3 partition function is an Airy that reproduces previous generalizes them include arbitrary squashing mass deformations/R-charge assignments. topologically twisted superconformal indices are instead products two different functions, agreement with direct numeric calculations unrefined limit former object. general fixed-point formula supersymmetric background similarly given as product functions.