Spinning Conformal Blocks

Details Spinning Conformal Blocks Spinning Conformal Blocks

2011-09-28

arxiv.org/abs/1109.6321v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

For conformal field theories in arbitrary dimensions, we introduce a method to derive the conformal blocks corresponding to the exchange of a traceless symmetric tensor appearing in four point functions of operators with spin. Using the embedding space formalism, we show that one can express all such conformal blocks in terms of simple differential operators acting on the basic scalar conformal blocks. This method gives all conformal blocks for conformal field theories in three dimensions. We demonstrate how this formalism can be applied in a few simple examples.

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