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Torus shadow formalism and exact global conformal blocks

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arxiv 2307.12061 v1 pith:BLGVN3SV submitted 2023-07-22 hep-th

K.B. Alkalaev , Semyon Mandrygin This is my paper
classification hep-th
keywords blockstorusconformalformalismfunctionglobalnecklaceshadow
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abstract

Using the shadow formalism we find global conformal blocks of torus CFT$_2$. It is shown that $n$-point torus blocks in the ``necklace'' channel (a loop with $n$ legs) are expressed in terms of a hypergeometric-type function which we refer to as the necklace function.

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Cited by 1 Pith paper

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  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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