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We determine fusion rules (dimensions of the space of intertwining operators)among simple modules for the vertex operator algebra obtained as an even partof the symplectic fermionic vertex operator superalgebra. By using these fusionrules we show that the fusion algebra of this vertex operator algebra isisomorphic to the group algebra of the Klein four group over Z.

Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions