Rationality and C2-cofiniteness of certain diagonal coset vertex operator algebras

نویسندگان

چکیده

In this paper, it is shown that the diagonal coset vertex operator algebra C(Lg(k+2,0),Lg(k,0)⊗Lg(2,0)) rational and C2-cofinite in case g=so(2n), n≥3 k an admissible number for gˆ. It also C(Lsl2(k+4,0),Lsl2(k,0)⊗Lsl2(4,0)) sl2ˆ. Furthermore, irreducible modules of are classified a positive odd integer.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.07.001