Vertex algebras have emerged as a potent algebraic framework for encapsulating the operator product expansion inherent in conformal field theory, while extended affine Lie algebras (EALAs) generalise ...

The Lie superalgebra 𝒮𝓓 of regular differential operators on the super circle has a universal central extension $\widehat{\mathcal{S}\mathcal{D}}$. For each c ∈ ℂ, the vacuum module ${\mathcal{M}}_{ ...

It is proved that the vertex operator algebra V is isomorphic to the moonshine VOA V of Frenkel-Lepowsky-Meurman if it satisfies conditions (a,b,c,d) or (a',b,c,d). These conditions are: (a) V is the ...

The Virasoro vertex algebra arises as the symmetry algebra of a two-dimensional conformal field theory. The Virasoro irreducible modules are well-known, and they play a prominent role in rational ...