Symplectic fermions and a quasi-Hopf algebra structure on U‾isℓ(2)

Our construction is motivated by the two-dimensional chiral conformal field theory of symplectic fermions with central charge c=−2. There, a braided monoidal category, SF, has been computed from the factorisation and monodromy properties of conformal blocks, and we prove that Rep(U‾isℓ(2),Φ,R) is braided monoidally equivalent to SF.