Exact strong zero modes arise generically in integrable anisotropic spin models from quasi-periodicity of R-matrices and tracelessness of K-matrices, unifying known cases and predicting new ones.
Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III
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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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quant-ph 1years
2026 1verdicts
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Exact strong zero modes are generic in integrable spin systems with large anisotropy
Exact strong zero modes arise generically in integrable anisotropic spin models from quasi-periodicity of R-matrices and tracelessness of K-matrices, unifying known cases and predicting new ones.