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math-ph2026

Torus one-point functions in critical loop models

Paul Roux, Sylvain Ribault, Jesper Lykke Jacobsen

We show that in critical loop models, torus 1-point functions can be expressed in terms of sphere 4-point functions at a different central charge. Unlike in the Moore--Seiberg form…

math-ph2026

Three-point functions in critical loop models

Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Sylvain Ribault +1

In two-dimensional models of critical non-intersecting loops, there are -leg fields that insert open loop segments, and diagonal fields that change the…

math-ph2026

Two-point functions in boundary loop models

Max Downing, Jesper Lykke Jacobsen, Rongvoram Nivesvivat +1

Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half…

math-ph202519 cited

Spaces of states of the two-dimensional O(n) and Potts models

Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur

We determine the spaces of states of the two-dimensional and -state Potts models with generic parameters as representations of their known symmetry al…

math-ph2024

Emerging Jordan blocks in the two-dimensional Potts and loop models at generic

Lawrence Liu, Jesper Lykke Jacobsen, Hubert Saleur

It was recently suggested -- based on general self-consistency arguments as well as results from the bootstrap (arXiv:2005.07708, arXiv:2007.11539, arXiv:2007.04190) -- that the CF…