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

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.

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

References in corpus (1)

• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory

Cited by in corpus (6)

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• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory
• Partition Functions for Maxwell Theory on the Five-torus and for the Fivebrane on S1XT5
• Abelian gauge symmetries and fluxed instantons in compactifications of type IIB and F-theory