Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III

Abstract : The so-called regime III of the a_2^{(2)} Izergin-Korepin 19-vertex model has defied understanding for many years. We show in this paper that its continuum limit involves in fact a non compact conformal field theory (the so-called Witten Euclidian black hole CFT), which leads to a continuous spectrum of critical exponents, as well as very strong corrections to scaling. Detailed numerical evidence based on the Bethe ansatz analysis is presented, involving in particular the observation of discrete states in the spectrum, in full agreement with the string theory prediction for the black hole CFT. Our results have important consequences for the physics of the O(n) model, which will be discussed elsewhere.
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https://hal-cea.archives-ouvertes.fr/cea-01065510
Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, September 18, 2014 - 11:07:20 AM
Last modification on : Thursday, February 7, 2019 - 4:50:12 PM

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Eric Vernier, Jesper Lykke Jacobsen, Hubert Saleur. Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2014, 47 (28), pp.5202. ⟨10.1088/1751-8113/47/28/285202⟩. ⟨cea-01065510⟩

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