Fermi-gas correlators of ADHM theory and triality symmetry

Abstract

We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d $\mathcal{N}=4$ ADHM theory with a gauge group $U(N)$, an adjoint hypermultiplet and $l$ hypermultiplets which can describe a stack of $N$ M2-branes at $A_{l-1}$ singularities. We find that the leading coefficients of the perturbative grand canonical correlation functions are invariant under a hidden triality symmetry conjectured from the twisted M-theory. The triality symmetry also helps us to fix the next-to-leading corrections analytically.

arXiv comment48 pages, 1 figure, v3: published version in SciPost

References in corpus (47)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• From weak to strong coupling in ABJM theory
• Gauge Theories and Macdonald Polynomials
• Localization techniques in quantum field theories
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• ABJM theory as a Fermi gas
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• The Omega Deformation, Branes, Integrability, and Liouville Theory
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• Nonperturbative Tests of Three-Dimensional Dualities
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• 4d Index to 3d Index and 2d TQFT
• Chiral flavors and M2-branes at toric CY4 singularities
• Supersymmetry enhancement by monopole operators
• The affine Yangian of ${\mathfrak{gl}}_1$ revisited
• Down the rabbit hole with theories of class S
• Deformation quantization and superconformal symmetry in three dimensions
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Ω-deformation and quantization
• Probing non-perturbative effects in M-theory
• Coulomb Branch Operators and Mirror Symmetry in Three Dimensions
• Solving M-theory with the Conformal Bootstrap
• Instanton effects in ABJM theory with general R-charge assignments
• M-theoretic matrix models
• The M-theory Archipelago
• The Coulomb Branch of 3d $\mathcal{N}=4$ Theories
• Holography and Koszul duality: the example of the $M2$ brane
• Mirror symmetry and line operators
• M-theory in the Omega-background and 5-dimensional non-commutative gauge theory
• A 2d/1d Holographic Duality
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• 3d $\mathcal{N}=4$ OPE Coefficients from Fermi Gas
• Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras
• Twisted M2 brane holography and sphere correlation functions
• Aspects of $\Omega$-deformed M-theory
• Sphere correlation functions and Verma modules
• Feynman diagrams and $\Omega$-deformed M-theory
• The $\mathcal{N}=4$ Schur index with Polyakov loops
• 3d N=4 Bootstrap and Mirror Symmetry
• Twisted holography of defect fusions
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes