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On Rota-Baxter vertex operator algebras
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Derivations play a fundamental role in the definition of vertex (operator) algebras, sometimes regarded as a generalization of differential commutative algebras. This paper studies the role played by the integral counterpart of the derivations, namely Rota-Baxter operators, in vertex (operator) algebras. The closely related notion of dendriform algebras is also defined for vertex operator algebras. It is shown that the classical relations among dendriform algebras, associative algebras, and Rota-Baxter algebras are preserved for their vertex algebra analogs.
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Cited by 2 Pith papers
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On the Strong Unital Property for the Affine VOAs
Universal affine sl₂ vacuum VOAs are never strongly unital at k ≠ −2; for L_{ŝl₂}(1,0) an explicit strong-unit formula is given, but it fails for d ≥ 2 under the paper's own affine bracket conventions.
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A basis theorem for Genus-One Conformal Blocks and modular invariance of intertwining operators
Trace functions of intertwining operators form a global frame of genus-one conformal blocks, yielding a uniform proof of modular invariance for rational vertex operator algebras.
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