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arXiv · 1604.08913

Dimensional Reduction for Conformal Blocks

Matthijs Hogervorst
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Abstract

We consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d+1,1) up into multiplets of SO(d,1). This leads to an expansion of d-dimensional conformal blocks in terms of blocks in d-1 dimensions. In particular, we obtain a formula for 3d conformal blocks as an infinite sum over 2F1 hypergeometric functions with closed-form coefficients.

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Matthijs Hogervorst. 2016-04-29. Dimensional Reduction for Conformal Blocks. https://doi.org/10.1007/jhep09(2016)017

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