Rota-Baxter operators on vertex algebras produce 2-cocycles via bracket deformation, with non-scalar operators yielding non-trivial classes in vertex algebra cohomology.
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Rota--Baxter operators on vertex algebras in integrated $\lambda$-bracket formalism and their associated 2-cocycles
Rota-Baxter operators on vertex algebras produce 2-cocycles via bracket deformation, with non-scalar operators yielding non-trivial classes in vertex algebra cohomology.