Dimensional Reduction for Conformal Blocks
High Energy Physics - Theory
2016-09-21 v1
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.
Cite
@article{arxiv.1604.08913,
title = {Dimensional Reduction for Conformal Blocks},
author = {Matthijs Hogervorst},
journal= {arXiv preprint arXiv:1604.08913},
year = {2016}
}
Comments
12 pages, 1 figure