Exact ABJM Partition Function from TBA

Abstract

We report on the exact computation of the S^3 partition function of U(N)_k\times U(N)_{-k} ABJM theory for k=1, N=1,...,19. The result is a polynomial in π^{-1} with rational coefficients. As an application of our results we numerically determine the coefficient of the membrane 1-instanton correction to the partition function.

8 pages, 2 figures. v3: introduction expanded, section about numerical applications added

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Cited by in corpus (57)

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• ABJ Fractional Brane from ABJM Wilson Loop
• Resumming the string perturbation series
• Instanton effects in ABJM theory with general R-charge assignments
• M-theoretic matrix models
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• The Partition Function of ABJ Theory
• 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
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• Exact eigenfunctions and the open topological string
• Localization at large N in Chern-Simons-matter theories
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• Orientifold ABJM Matrix Model: Chiral Projections and Worldsheet Instantons
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• Orientifolding of the ABJ Fermi gas
• Superconformal Chern-Simons Theories from del Pezzo Geometries
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• Probing non-perturbative effects in M-theory on orientifolds
• Dualities in ABJM Matrix Model from Closed String Viewpoint
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• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• Fermi gas approach to general rank theories and quantum curves
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• 3d superconformal indices and isomorphisms of M2-brane theories
• M2-branes and $\mathfrak{q}$-Painlevé equations
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• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
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• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• Duality Cascades and Parallelotopes
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
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• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas
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