Scalar products of the elliptic Felderhof model and elliptic Cauchy formula

JOURNAL OF GEOMETRY AND PHYSICS

卷:134

Article

Motegi, Kohei¹ 

[1] Tokyo Univ Marine Sci & Technol, Fac Marine Technol, Koto Ku, Etchujima 2-1-6, Tokyo 1358533, Japan

关键词: Elliptic integrable models;    Partition functions;    Symmetric functions;    Representation theory;   

DOI  :  10.1016/j.geomphys.2018.08.004

来源: Elsevier

【 摘 要 】

We analyze the scalar products of the elliptic Felderhof model introduced by Foda-Wheeler-Zuparic as an elliptic extension of the trigonometric face-type Felderhof model by Deguchi-Akutsu. We derive the determinant formula for the scalar products by applying the Izergin-Korepin technique developed by Wheeler to investigate the scalar products of integrable lattice models. By combining the determinant formula for the scalar products with the recently-developed Izergin-Korepin technique to analyze the wavefunctions, we derive a Cauchy formula for elliptic Schur functions. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free