Dimension of Conformal Blocks in Five Dimensional Kaehler-Chern-Simons Theory
Haitao Liu

TL;DR
This paper reviews the five-dimensional Kaehler-Chern-Simons theory on circle bundles over four-dimensional Kaehler manifolds and provides a detailed path integral calculation using Blau and Thompson’s method.
Contribution
It offers a detailed computation of the conformal blocks dimension in 5D Kaehler-Chern-Simons theory on specific manifolds, extending previous theoretical frameworks.
Findings
Explicit path integral calculation for the theory
Determination of conformal block dimensions in 5D
Application of Blau and Thompson's method to this context
Abstract
We briefly review the Kaehler-Chern-Simon theory on 5-manifolds which are trivial circle bundles over 4-dimensional Kaehler manifolds and present a detailed calculation of the path integral, using the method of Blau and Thompson.
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