One-loop supergravity on ${\mathrm{AdS}}_4\times S^7/{\mathbb{Z}}_k$ and comparison with ABJM theory

James T. Liu, Wenli Zhao

The large-$N$ limit of ABJM theory is holographically dual to M-theory on AdS${}_4\times S^7/{\mathbb{Z}}_k$. The 3-sphere partition function has been obtained via localization, and it…