Localization at large N in Chern-Simons-matter theories

Abstract

We review some exact results for the matrix models appearing in the localization of Chern-Simons-matter theories, focusing on the structure of non-perturbative effects and onthe M-theory expansion of ABJM theory. We also summarize some of the results obtained for other Chern-Simons-matter theories, as well as recent applications to topological strings.

This is a contribution to the review volume `Localization techniques in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17 Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• The Refined Topological Vertex
• Notes on SUSY Gauge Theories on Three-Sphere
• Summing Up All Genus Free Energy of ABJM Matrix Model
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Supersymmetry enhancement by monopole operators
• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Anomalous radius shift in AdS(4)/CFT(3)
• Holomorphic Anomaly in Gauge Theories and Matrix Models
• Notes on Supersymmetry Enhancement of ABJM Theory
• 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
• Topological Strings and Quantum Spectral Problems
• Resumming the string perturbation series
• M-theoretic matrix models
• Localization on three-dimensional manifolds
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Finite N from Resurgent Large N
• On Large N Solution of Gaiotto-Tomasiello Theory
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• Topological Strings and (Almost) Modular Forms
• A Note on Instanton Effects in ABJM Theory

Cited by in corpus (18)

• Localization techniques in quantum field theories
• AdS${}_4$/CFT${}_3$ from Weak to Strong String Coupling
• Localization on three-dimensional manifolds
• Localization and AdS/CFT Correspondence
• The F-Theorem and F-Maximization
• Operators and higher genus mirror curves
• Holomorphic blocks and the 5d AGT correspondence
• 3d $\mathcal{N}=4$ OPE Coefficients from Fermi Gas
• Large $N$ Superconformal Indices for 3d Holographic SCFTs
• 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
• Fermi gas approach to general rank theories and quantum curves
• Two-Point Functions in ABJM Matrix Model
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Large N instantons from topological strings
• 1/2-BPS membrane instantons in AdS${}_4\times$S${}^7/{\mathbf{Z}}_k$
• Matrix models from localization of five-dimensional supersymmetric noncommutative U(1) gauge theory
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview