English

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

High Energy Physics - Theory 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0008161,
  title  = {On the holomorphically factorized partition function for abelian gauge theory in six dimensions},
  author = {Andreas Gustavsson},
  journal= {arXiv preprint arXiv:hep-th/0008161},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T14:59:35.502Z