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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, the discussion of modular invariance has been extended to T2 times a four-manifold

Scientific paper

10.1142/S0217751X02006018

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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