EXACT ABJM PARTITION FUNCTION FROM TBA

DOI10.1142/S0217732312502008zbMath1260.81208arXiv1207.5066MaRDI QIDQ4912466

Publication date: 4 April 2013

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5066

zbMATH Keywords

partition function M-theory ABJM theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Index theory and related fixed-point theorems on manifolds (58J20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (50)

Exact results on ABJ theory and the refined topological string ⋮ Non-perturbative effects and the refined topological string ⋮ Probing non-perturbative effects in M-theory ⋮ Duality cascades and parallelotopes ⋮ Instanton effects in ABJM theory from Fermi gas approach ⋮ Instanton corrections of 1/6 BPS Wilson loops in ABJM theory ⋮ Dualities in ABJM matrix model from closed string viewpoint ⋮ Wilson loops in 3d $ \mathcal{N} =4$ SQCD from Fermi gas ⋮ Probing non-perturbative effects in M-theory on orientifolds ⋮ Orientifolding of the ABJ Fermi gas ⋮ Instanton effects in ABJM theory with general $R$-charge assignments ⋮ TBA-like integral equations from quantized mirror curves ⋮ Orientifold ABJM matrix model: chiral projections and worldsheet instantons ⋮ Exact relations between M2-brane theories with and without orientifolds ⋮ ABJM on ellipsoid and topological strings ⋮ Exact instanton expansion of superconformal Chern-Simons theories from topological strings ⋮ Resumming the string perturbation series ⋮ Exact results in $ \mathcal{N}=8 $ Chern-Simons-matter theories and quantum geometry ⋮ Partition functions of 3d $ \widehat{D} $-quivers and their mirror duals from 1d free fermions ⋮ Large $N$ non-perturbative effects in $ \mathcal{N}=4 $ superconformal Chern-Simons theories ⋮ Superconformal Chern-Simons partition functions of affine D-type quiver from Fermi gas ⋮ The spectral problem of the ABJ Fermi gas ⋮ Spectral zeta function and non-perturbative effects in ABJM Fermi-gas ⋮ Two-point functions in ABJM matrix model ⋮ Spectral theories and topological strings on del Pezzo geometries ⋮ Fermi gas approach to general rank theories and quantum curves ⋮ ABJM matrix model and 2D Toda lattice hierarchy ⋮ 40 bilinear relations of $q$-Painlevé VI from $\mathcal{N} = 4$ super Chern-Simons theory ⋮ Quantized strings and instantons in holography ⋮ Supersymmetry breaking in a large $N$ gauge theory with gravity dual ⋮ Mass deformed ABJM and $ \mathcal{P}\mathcal{T} $ symmetry ⋮ Instanton contributions to the ABJM free energy from quantum M2 branes ⋮ Localization at largeNin Chern–Simons-matter theories ⋮ Operators and higher genus mirror curves ⋮ Exact eigenfunctions and the open topological string ⋮ Instanton effects in rank deformed superconformal Chern-Simons theories from topological strings ⋮ Superconformal Chern-Simons theories from del Pezzo geometries ⋮ Resurgence matches quantization ⋮ Symmetry breaking in quantum curves and super Chern-Simons matrix models ⋮ Note on quantum periods and a TBA-like system ⋮ Brane transitions from exceptional groups ⋮ Subleading corrections in $\mathcal{N} = 3$ Gaiotto-Tomasiello theory ⋮ Complete factorization in minimal $\mathcal{N}=4 $ Chern-Simons-matter theory ⋮ Functional equations and separation of variables for exact $g$-function ⋮ M-theoretic matrix models ⋮ Quantum periods and TBA-like equations for a class of Calabi-Yau geometries ⋮ 3d superconformal indices and isomorphisms of M2-brane theories ⋮ Quantum curves and $q$-deformed Painlevé equations ⋮ Duality cascades and affine Weyl groups ⋮ M2-branes and ${\mathfrak{q}}$-Painlevé equations

Cites Work

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