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Journal articles
Lax matrix solution of c = 1 conformal field theory
Abstract : To a correlation function in a two-dimensional conformal field theory with the central charge c = 1, we associate a matrix differential equation Ψ ′ = LΨ, where the Lax matrix L is a matrix square root of the energy-momentum tensor. Then local conformal symmetry implies that the differential equation is isomonodromic. This provides a justification for the recently observed relation between four-point conformal blocks and solutions of the Painlevé VI equation. This also provides a direct way to compute the three-point function of Runkel-Watts theory – the common c → 1 limit of Minimal Models and Liouville theory.
Cited literature [9 references]
https://hal-cea.archives-ouvertes.fr/cea-01230212
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, November 18, 2015 - 9:35:38 AM
Last modification on : Wednesday, April 14, 2021 - 12:12:08 PM
Long-term archiving on: : Friday, April 28, 2017 - 3:39:37 PM
Contributor : Emmanuelle de Laborderie <>
Submitted on : Wednesday, November 18, 2015 - 9:35:38 AM
Last modification on : Wednesday, April 14, 2021 - 12:12:08 PM
Long-term archiving on: : Friday, April 28, 2017 - 3:39:37 PM
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1307.4865v3.pdf
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