engleski

On coset vertex algebras with central charge 1

We present a coset realization of the vertex operator algebra $V_L ^+$ with central charge $1$. We investigate the vertex operator algebra $V_{; ; ; \Z \sqrt{; ; ; 2n}; ; ; }; ; ; ^+$ (resp. $V_{; ; ; 2\Z \sqrt{; ; ; 2n+1}; ; ; }; ; ; ^+$) as a vertex subalgebra of $L_{; ; ; D_n ^{; ; ; (1)}; ; ; }; ; ; (\Lambda _0) \otimes L_{; ; ; D_n ^{; ; ; (1)}; ; ; }; ; ; (\Lambda _0)$ (resp. $L_{; ; ; B_n ^{; ; ; (1)}; ; ; }; ; ; (\Lambda _0) \otimes L_{; ; ; B_n ^{; ; ; (1)}; ; ; }; ; ; (\Lambda _0)$). Our construction is based on the boson-fermion correspondence and certain conformal embeddings.

vertex algebras ; coset vertex algebras ; affine Lie algebras ; lattice vertex algebras ; orbifolds ; W-algebras

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