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Lattice vertex algebras and Loop Grassmannians

Ivan Mirkovic (January 2023, Marktontwikkelingen Deel 4 Transport groothandel)

For an integral symmetric matrix κ we construct a new “nonabelian homology localization” of the lattice vertex algebra Lκ on the corresponding loop Grassmannian space 𝒢κ. We attempt to motivate our construction by presenting related topics in the language of “interaction of particles over algebraic curves”.
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