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PreprintCC BY 4.0arXiv

Limit shape for domain-wall six-vertex model

Abstract

In this note we announce limit shape theorems for the height function of the six-vertex model in the antiferroelectric (for arbitrary Δ<−1) and disordered (in a restricted range −1 < Δ≤ 1/2) regimes under domain-wall boundary conditions.

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BibTeX
@misc{bufetov2026limit,
  title = {{Limit shape for domain-wall six-vertex model}},
  author = {Alexey Bufetov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20576},
  eprint = {2609.20576},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20576},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Limit shape for domain-wall six-vertex model
AU  - Alexey Bufetov
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20576
UR  - https://arxiv.org/abs/2609.20576
AB  - In this note we announce limit shape theorems for the height function of the six-vertex model in the antiferroelectric (for arbitrary Δ<−1) and disordered (in a restricted range −1 < Δ≤ 1/2) regimes under domain-wall boundary conditions.
ER  -