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arXiv · 2009.11882

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

Ilija Buric·Sylvain Lacroix·Jeremy A. Mann·Lorenzo Quintavalle·Volker Schomerus
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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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Ilija Buric, Sylvain Lacroix, Jeremy A. Mann, Lorenzo Quintavalle, Volker Schomerus. 2020-09-24. From Gaudin Integrable Models to $d$-dimensional Multipoint Conformal Blocks. https://doi.org/10.1103/physrevlett.126.021602

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