Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras

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We prove the existence and associativity of the nonmeromorphic operator product expansion for an infinite family of vertex operator algebras, the triplet W-algebras, using results from P(z)-tensor product theory. While doing this, we also show that all these vertex operator algebras are C_2-cofinite.
21 pages, to appear in J. Phys. A: Math. Gen.; the exposition is improved and one reference is added

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