Probing non-perturbative effects in M-theory

Abstract

The AdS/CFT correspondence enables us to probe M-theory on various backgrounds from the corresponding dual gauge theories. Here we investigate in detail a three-dimensional U(N) N=4 super Yang-Mills theory coupled to one adjoint hypermultiplet and Nf fundamental hypermultiplets, which is large N dual to M-theory on AdS_4xS^7/Z_Nf. Using the localization and the Fermi-gas formulation, we explore non-perturbative corrections to the partition function. As in the ABJM theory, we find that there exists a non-trivial pole cancellation mechanism, which guarantees the theory to be well-defined, between worldsheet instantons and membrane instantons for all rational (in particular, physical or integral) values of Nf.

34 pages

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Cited by in corpus (41)

• Matrix models from operators and topological strings, 2
• Operators from mirror curves and the quantum dilogarithm
• Matrix models from operators and topological strings
• Instanton effects in ABJM theory with general R-charge assignments
• M-theoretic matrix models
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• Exact Instanton Expansion of Superconformal Chern-Simons Theories from Topological Strings
• Large $N$ Partition Functions of the ABJM Theory
• Partition functions of 3d $\hat{D}$-quivers and their mirror duals from 1d free fermions
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• ABJM on ellipsoid and topological strings
• 3d $\mathcal{N}=4$ OPE Coefficients from Fermi Gas
• TBA-like integral equations from quantized mirror curves
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry
• Exact relations between M2-brane theories with and without Orientifolds
• Exact Instanton Expansion of ABJM Partition Function
• Superconformal Chern-Simons Partition Functions of Affine D-type Quiver from Fermi Gas
• Localization at large N in Chern-Simons-matter theories
• Instanton Effects in Rank Deformed Superconformal Chern-Simons Theories from Topological Strings
• ABJM Membrane Instanton from Pole Cancellation Mechanism
• Orientifolding of the ABJ Fermi gas
• Exponential Networks, WKB and Topological String
• 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
• Large N non-perturbative effects in $\mathcal{N}=4$ superconformal Chern-Simons theories
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• A Note on Instanton Effects in ABJM Theory
• Instanton Corrections of 1/6 BPS Wilson Loops in ABJM Theory
• Exact results for ABJ Wilson loops and open-closed duality
• Fermi gas approach to general rank theories and quantum curves
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• M2-branes and plane partitions
• Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k
• Microscopics of de Sitter Entropy from Precision Holography
• Exact results for Wilson loops in orbifold ABJM theory
• Resummations and Non-Perturbative Corrections
• Exact large $N$ expansion of $\mathcal{N}=4$ circular quiver Chern-Simons theories and squashing
• Exact solutions to quantum spectral curves by topological string theory
• Resurgence, Stokes constants, and arithmetic functions in topological string theory
• Fermi-gas correlators of ADHM theory and triality symmetry
• Wilson loops in 3d $\mathcal{N}=4$ SQCD from Fermi gas