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Dimensional Reduction for Conformal Blocks

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arxiv 1604.08913 v1 pith:VSFDNY2Z submitted 2016-04-29 hep-th

Matthijs Hogervorst This is my paper · ORCID
classification hep-th
keywords blocksconformald-dimensionaldimensionalmultipletsreductionbreakingclosed-form
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lectures on Semiclassical Methods for Composite Operators

    hep-th 2026-06 unverdicted novelty 3.0 of 10

    Lecture notes develop semiclassical methods to compute large-n scaling dimensions of composite operators in CFTs, recovering known results in free theory and deriving one-loop corrections at the Wilson-Fisher fixed point.

  2. Bootstrapping 3D Conformal Field Theories with Product Analytic Functionals

    hep-th 2026-08

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