Nonperturbative aspects of ABJM theory

Abstract

Using the matrix model which calculates the exact free energy of ABJM theory on S^3 we study non-perturbative effects in the large N expansion of this model, i.e., in the genus expansion of type IIA string theory on AdS4xCP^3. We propose a general prescription to extract spacetime instanton actions from general matrix models, in terms of period integrals of the spectral curve, and we use it to determine them explicitly in the ABJM matrix model, as exact functions of the 't Hooft coupling. We confirm numerically that these instantons control the asymptotic growth of the genus expansion. Furthermore, we find that the dominant instanton action at strong coupling determined in this way exactly matches the action of an Euclidean D2-brane instanton wrapping RP^3.

26 pages, 14 figures. v2: small corrections, final version published in JHEP

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Cited by in corpus (128)

• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
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• Supersymmetric Gauge Theories on the Five-Sphere
• Instanton Effects in ABJM Theory from Fermi Gas Approach
• Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
• Instanton Bound States in ABJM Theory
• Membrane instantons from a semiclassical TBA
• Exact Results on the ABJM Fermi Gas
• Resurgence and the Nekrasov-Shatashvili Limit: Connecting Weak and Strong Coupling in the Mathieu and Lam'e Systems
• Resurgent Transseries and the Holomorphic Anomaly: Nonperturbative Closed Strings in Local CP2
• New supersymmetric Wilson loops in ABJ(M) theories
• Exact Slope and Interpolating Functions in ABJM Theory
• A note on perturbation series in supersymmetric gauge theories
• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
• Probing non-perturbative effects in M-theory
• Exact results on ABJ theory and the refined topological string
• Higgs branch localization of 3d N=2 theories
• Matrix models from operators and topological strings
• Emergence in Holographic Scenarios for Gravity
• Direct derivation of "mirror" ABJ partition function
• ABJ Fractional Brane from ABJM Wilson Loop
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Resumming the string perturbation series
• Instanton effects in ABJM theory with general R-charge assignments
• M-theoretic matrix models
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• ABJM Wilson Loops in Arbitrary Representations
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• The Partition Function of ABJ Theory
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• Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Extremal Correlators and Random Matrix Theory
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• ABJM Wilson loops in the Fermi gas approach
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Instanton Effects in Orbifold ABJM Theory
• Sum rules for characters from character-preservation property of matrix models
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• Resurgence Matches Quantization
• Finite N from Resurgent Large N
• Instanton Effects in Orientifold ABJM Theory
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry
• Exact Instanton Expansion of ABJM Partition Function
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
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• Exact multi-instantons in topological string theory
• 4d N=2 supergravity observables from Nekrasov-like partition functions
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• Higher derivative effects for 4d AdS gravity
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
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• ABJM Membrane Instanton from Pole Cancellation Mechanism
• On the resurgent structure of quantum periods
• Orthosymplectic Chern-Simons Matrix Model and Chirality Projection
• $q$-Virasoro modular double and 3d partition functions
• On Perturbation theory improved by Strong coupling expansion
• Airy Function and 4d Quantum Gravity
• Exponential Networks, WKB and Topological String
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• The Topologically Twisted Index in the 't Hooft Limit and the Dual AdS${}_4$ Black Hole Entropy
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• New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling
• Bands and gaps in Nekrasov partition function
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• ABJ Wilson loops and Seiberg Duality
• Intersecting Defects and Supergroup Gauge Theory
• Dualities in ABJM Matrix Model from Closed String Viewpoint
• From the planar limit to M-theory
• Spectral Theories and Topological Strings on del Pezzo Geometries
• Large N non-perturbative effects in $\mathcal{N}=4$ superconformal Chern-Simons theories
• Hanany-Witten Transition in Quantum Curves
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• Universality of the topological string at large radius and NS-brane resurgence
• Matter Chern Simons Theories in a Background Magnetic Field
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Spectral determinants and quantum theta functions
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Two-Point Functions in ABJM Matrix Model
• ABJM Matrix Model and 2D Toda Lattice Hierarchy
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• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
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• M2-branes and plane partitions
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• The topological open string wavefunction
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• Resurgent Analysis of Localizable Observables in Supersymmetric Gauge Theories
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• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• Brane Transitions from Exceptional Groups
• Vortex loop operators and quantum M2-branes
• Faces of matrix models
• One-loop supergravity on ${\mathrm{AdS}}_4\times S^7/{\mathbb{Z}}_k$ and comparison with ABJM theory
• A One-Loop Test of Quantum Supergravity
• Resummations and Non-Perturbative Corrections
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Large N instantons from topological strings
• Duality Cascades and Affine Weyl Groups
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• The large-N partition function for non-parity-invariant Chern-Simons-matter theories
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• Subleading corrections to the free energy in a theory with $N^{5/3}$ scaling
• Resurgent Structure of the Topological String and the First Painlevé Equation
• Constant maps in equivariant topological strings and geometric modeling of fluxes
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• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
• Duality Cascades and Parallelotopes
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• Notes on Planar Resolvents of Chern-Simons-matter Matrix Models
• Resurgence and Topological Strings
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• N=(4,4) Vector Multiplets on Curved Two-Manifolds
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• Quantum Mirror Map for Del Pezzo Geometries
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