Holographic Action for the Self-Dual Field

Details Holographic Action for the Self-Dual Field Holographic Action for the Self-Dual Field

2006-05-03

arxiv.org/abs/hep-th/0605038v1

Physics

High Energy Physics

High Energy Physics - Theory

75 pages; 18 figures; LaTeX

Scientific paper

We revisit the construction of self-dual field theory in 4l+2 dimensions using Chern-Simons theory in 4l+3 dimensions, building on the work of Witten. Careful quantization of the Chern-Simons theory reveals all the topological subtleties associated with the self-dual partition function, including the generalization of the choice of spin structure needed to define the theory. We write the partition function for arbitrary torsion background charge, and in the presence of sources. We show how this approach leads to the formulation of an action principle for the self-dual field.

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