%0 Journal Article %T On the holomorphically factorized partition function for abelian gauge theory in six dimensions %A Andreas Gustavsson %J Physics %D 2000 %I arXiv %R 10.1142/S0217751X02006018 %X We use holomorphic factorization to find the partition functions of an abelian two-form chiral gauge-field on a flat six-torus. We prove that exactly one of these partition functions is modular invariant. It turns out to be the one that previously has been found in a hamiltonian formulation. %U http://arxiv.org/abs/hep-th/0008161v2