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

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

1999-08-16

arxiv.org/abs/hep-th/9908107v1

JHEP 9909:008,1999

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Latex

Scientific paper

10.1088/1126-6708/1999/09/008

We consider a free (2 k)-form gauge-field on a Euclidean (4 k + 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-holomorphic factor. The holomorphic factors are naturally interpreted as correlation functions for a chiral (2 k)-form, i.e. a (2 k)-form with a self-dual (2 k + 1)-form field strength, after Wick rotation to a Minkowski signature.

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