Twisted M2 brane holography and sphere correlation functions

Abstract

We define and compute algebraically a "perturbative part" of protected sphere correlation functions in the M2 brane SCFTs. These correlation functions are expected to have a holographic description in terms of twisted, $\Omega$-deformed M-theory. We uncover a hidden perturbative triality symmetry which supports this conjecture. We also discuss some variants of the setup, involving M2 branes at $A_k$ singularities and D3 branes with a transverse compact direction.

36 pages, 4 figures. v2: corrected minor typos

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Cited by in corpus (13)

• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• Feynman diagrams and $\Omega$-deformed M-theory
• More on holographic correlators: Twisted and dimensionally reduced structures
• Twisted eleven-dimensional supergravity
• Twisted holography of defect fusions
• Twisted holography on AdS${}_3\times S^3\times K3$ & the planar chiral algebra
• Evidence for an Algebra of ${\mathbf{G}}_2$ Instantons
• R-matrices and Miura operators in 5d Chern-Simons theory
• A domain wall in twisted M-theory
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Algebras, traces, and boundary correlators in $\mathcal{N}=4$ SYM
• Three-Point Functions in ABJM and Bethe Ansatz
• Fermi-gas correlators of ADHM theory and triality symmetry