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Higher-Point Conformal Blocks in the Comb Channel

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arxiv 1911.11046 v2 pith:I4DNSHQ4 submitted 2019-11-25 hep-th

Jean-François Fortin , Wenjie Ma , Witold Skiba This is my paper
classification hep-th
keywords blockscombconformalexternalwhenarbitraryavailablechannel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute $M$-point conformal blocks with scalar external and exchange operators in the so-called comb configuration for any $M$ in any dimension $d$. Our computation involves repeated use of the operator product expansion to increase the number of external fields. We check our results in several limits and compare with the expressions available in the literature when $M=5$ for any $d$, and also when $M$ is arbitrary while $d=1$.

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Cited by 1 Pith paper

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

  1. Thermal $n$-Point Conformal Blocks in Four Dimensions from Oscillator Representations

    hep-th 2025-07 conditional novelty 6.0 of 10

    New analytic formulas for four-dimensional thermal n-point conformal blocks are derived from oscillator representations, with a correct low-temperature limit to vacuum comb-channel blocks.

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