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From Gaudin Integrable Models to $d$-dimensional Multipoint Conformal Blocks

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arxiv 2009.11882 v2 pith:PB3EN3E6 submitted 2020-09-24 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords blocksconformalmultipointdimensionalgaudinintegrableapproachcomplete
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abstract

In this work we initiate an integrability-based approach to multipoint conformal blocks for higher dimensional conformal field theories. Our main observation is that conformal blocks for $N$-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks.

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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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