Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions

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Original languageEnglish
Article number116655
Number of pages13
JournalNuclear Physics B
Volume1006
Early online date10 Aug 2024
Publication statusPublished - Sept 2024

Abstract

The finite-size spectrum of the critical staggered six-vertex model with antidiagonal boundary conditions is studied. Similar to the case of periodic boundary conditions, we identify three different phases. In two of those, the underlying conformal field theory can be identified to be related to the twisted \(U(1)\) Kac-Moody algebra. In contrast, the finite size scaling in the third regime, whose critical behaviour with the (quasi-)periodic BCs is related to the 2d black hole CFTs possessing a non-compact degree of freedom, is more subtle. Here with antidiagonal BCs imposed, the corrections to the scaling of the ground state grow logarithmically with the system size, while the energy gaps appear to close logarithmically. Moreover, we obtain an explicit formula for the Q-operator which is useful for numerical implementation.

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Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions. / Frahm, Holger; Gehrmann, Sascha.
In: Nuclear Physics B, Vol. 1006, 116655, 09.2024.

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Frahm H, Gehrmann S. Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions. Nuclear Physics B. 2024 Sept;1006:116655. Epub 2024 Aug 10. doi: 10.1016/j.nuclphysb.2024.116655
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