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On the holomorphically factorized partition function for abelian gauge theory in six dimensions

Andreas Gustavsson

hep-tharXiv:hep-th/0008161

Abstract

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.

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