Feynman diagrams and $\Omega$-deformed M-theory

Abstract

We derive the simplest commutation relations of operator algebras associated to M2 branes and an M5 brane in the $\Omega$-deformed M-theory, which is a natural set-up for Twisted holography. Feynman diagram 1-loop computations in the twisted-holographic dual side reproduce the same algebraic relations.

arXiv comment50 pages; v2: a submitted version to SciPost

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• Evidence for an Algebra of ${\mathbf{G}}_2$ Instantons
• Twisted holography on AdS${}_3\times S^3\times K3$ & the planar chiral algebra
• Embedding Integrable Superspin Chain in String Theory
• R-matrices and Miura operators in 5d Chern-Simons theory
• A domain wall in twisted M-theory
• Fermi-gas correlators of ADHM theory and triality symmetry
• Boundary Conditions in Topological AdS${}_4$/CFT${}_3$