Exact Instanton Expansion of ABJM Partition Function

TL;DR

This paper reviews recent advances in precisely calculating the ABJM theory's partition function, incorporating all perturbative and non-perturbative corrections through connections to Fermi gas systems, topological strings, integrable models, and supergroups.

Contribution

It presents an exact instanton expansion of the ABJM partition function, integrating multiple theoretical frameworks for the first time.

Findings

Exact large N expansion of ABJM partition function

Inclusion of all perturbative and non-perturbative corrections

Connections to Fermi gas, topological string, integrable models, and supergroups

Abstract

We review recent progress in determining the partition function of the ABJM theory in the large N expansion, including all of the perturbative and non-perturbative corrections. Especially, we will focus on how these exact expansions are obtained from various beautiful relations to Fermi gas system, topological string theory, integrable model and supergroup.