# Holomorphic factorization of correlation functions in ( 4 k + 2 )-dimensional ( 2 k )-form gauge theory

```@inproceedings{Henningson1999HolomorphicFO,
title={Holomorphic factorization of correlation functions in ( 4 k + 2 )-dimensional ( 2 k )-form gauge theory},
author={M{\aa}ns Henningson and Bengt E. W. Nilsson and Per Salomonson},
year={1999}
}```
We consider a free (2k)-form gauge-field on a Euclidean (4k + 2)-manifold. The parameters needed to specify the action and the gauge-invariant observables take their values in spaces with natural complex structures. We show that the correlation functions can be written as a finite sum of terms, each of which is a product of a holomorphic and an anti… CONTINUE READING