Twisted M2 brane holography and sphere correlation functions
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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.