Elliptic free-fermion model with OS boundary and elliptic Pfaffians

@article{Motegi2018EllipticFM,
  title={Elliptic free-fermion model with OS boundary and elliptic Pfaffians},
  author={Kohei Motegi},
  journal={Letters in Mathematical Physics},
  year={2018},
  volume={109},
  pages={923-943}
}
  • K. Motegi
  • Published 4 June 2018
  • Mathematics, Physics
  • Letters in Mathematical Physics
We introduce and study a class of partition functions of an elliptic free-fermionic face model. We study the partition functions with a triangular boundary using the off-diagonal K-matrix at the boundary (OS boundary), which was introduced by Kuperberg as a class of variants of the domain wall boundary partition functions. We find explicit forms of the partition functions with OS boundary using elliptic Pfaffians. We find two expressions based on two versions of Korepin’s method, and we obtain… 
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A duality formula between elliptic determinants

A duality formula between two elliptic determinants is proved and is a variant of the Izergin-Korepin method which is a method originally introduced to analyze and compute partition functions of integrable lattice models.

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