For every p ≥ 2, a half-integer graded simple vertex algebra C_p is constructed with modular characters, and for p=3,4,5, C_p is isomorphic to affine W-algebras of types G2, F4, and E8.
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Vertex algebras related to regular representations of $SL_2$
For every p ≥ 2, a half-integer graded simple vertex algebra C_p is constructed with modular characters, and for p=3,4,5, C_p is isomorphic to affine W-algebras of types G2, F4, and E8.