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.

48 pages, 1 figure, v3: published version in SciPost

References in corpus (13)

• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Supersymmetry enhancement by monopole operators
• Down the rabbit hole with theories of class S
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Ω-deformation and quantization
• Probing non-perturbative effects in M-theory
• M-theoretic matrix models
• The Coulomb Branch of 3d $\mathcal{N}=4$ Theories
• A 2d/1d Holographic Duality
• M-theory in the Omega-background and 5-dimensional non-commutative gauge theory
• Sphere correlation functions and Verma modules
• Twisted holography of defect fusions
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes