The chiral conformal field theory of free super-bosons with untwisted mode algebras

A braided monoidal category for free super-bosons

The chiral conformal field theory of free super-bosons is generated by weight one currents whose mode algebra is the affinisation of an abelian lie super-algebra h with non-degenerate super-symmetric pairing.The mode algebras of a single free boson and of a single pair of symplectic fermions arise for even|odd dimension 1|0 and 0|2 of h, respectively.The representations of the untwisted mode algebra of free super-bosons are equipped with a tensor product, a braiding, and an associator.In the symplectic fermion case, i.e.If h is purely odd, the braided monoidal structure is extended to representations of the z/2z-twisted mode algebra.