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arXiv · 2011.12238

Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras

Thuy Bui·Gaywalee Yamskulna
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Abstract

We first investigate the algebraic structure of vertex algebroids $B$ when $B$ are simple Leibniz algebras. Next, we use these vertex algebroids $B$ to construct indecomposable non-simple $C_2$-cofinite $\mathbb{N}$-graded vertex algebras $\overline{V_B}$. In addition, we classify $\mathbb{N}$-graded irreducible $\overline{V_B}$-modules and examine conformal vectors of these $\mathbb{N}$-graded vertex algebras $\overline{V_B}$.

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Thuy Bui, Gaywalee Yamskulna. 2020-11-22. Vertex algebroids and Conformal vertex algebras associated with simple Leibniz algebras. https://arxiv.org/abs/2011.12238

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