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Dimensional reduction for conformal blocks

Name: Dimensional reduction for conformal blocks
Creator: Hogervorst, Matthijs
Keywords: High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), 0103 physical sciences, FOS: Physical sciences, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2016Embargo end date: 01 Jan 2016Publisher:Springer Science and Business Media LLCJournal:Journal of High Energy Physics, volume 2,016 (eissn: 1029-8479,

Authors: Hogervorst, Matthijs;

doi: 10.1007/jhep09(2016)017 , 10.48550/arxiv.1604.08913

arXiv: http://arxiv.org/abs/1604.08913

Dimensional reduction for conformal blocks

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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.

12 pages, 1 figure

Related Organizations

State University of New York
United States
State University of New York at Potsdam
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University of Chicago
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C. N. Yang Institute for Theoretical Physics
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Keywords

High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), FOS: Physical sciences

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
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Top 10%

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