Geodesic
Extensions of vertex algebras. Constructions and applications
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 4, pp. 707-763

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This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications to the geometric Langlands programme. Bibliography: 46 titles.
Keywords: vertex operator algebras, screenings, opers, quantum groups. 
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     author = {B. L. Feigin},
     title = {Extensions of vertex algebras. {Constructions} and applications},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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B. L. Feigin. Extensions of vertex algebras. Constructions and applications. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 4, pp. 707-763. http://geodesic.mathdoc.fr/item/RM_2017_72_4_a3/