Exact Instanton Expansion of ABJM Partition Function

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.

47 pages, no figures, a review article submitted to PTEP

References in corpus (23)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Fractional M2-branes
• Notes on SUSY Gauge Theories on Three-Sphere
• Summing Up All Genus Free Energy of ABJM Matrix Model
• New Exact Quantization Condition for Toric Calabi-Yau Geometries
• Probing non-perturbative effects in M-theory
• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
• Exact results on ABJ theory and the refined topological string
• Exact ABJM Partition Function from TBA
• Resumming the string perturbation series
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Instanton Effects in Orbifold ABJM Theory
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• 3d mirror symmetry as a canonical transformation
• Large N non-perturbative effects in $\mathcal{N}=4$ superconformal Chern-Simons theories
• Localization principle in SUSY gauge theories
• The spectral problem of the ABJ Fermi gas
• Resummations and Non-Perturbative Corrections

Cited by in corpus (19)

• Operators and higher genus mirror curves
• Instanton Effects in Orientifold ABJM Theory
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Comments on ABJM free energy on $S^3$ at large $N$ and perturbative expansions in M-theory and string theory
• Probing non-perturbative effects in M-theory on orientifolds
• Giambelli Identity in Super Chern-Simons Matrix Model
• Exact results for ABJ Wilson loops and open-closed duality
• Localization principle in SUSY gauge theories
• Fermi gas approach to general rank theories and quantum curves
• Two-Point Functions in ABJM Matrix Model
• Multi-cut Solutions in Chern-Simons Matrix Models
• Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Large N instantons from topological strings
• Deconstructing Deformed D-quivers
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• Dualities and loops on squashed $S^3$