Diagonal K-matrices and transfer matrix eigenspectra associated with the G2(1) R-matrix

C. M. Yung; M. T. Batchelor

doi:10.1016/0375-9601(95)00083-F

Diagonal K-matrices and transfer matrix eigenspectra associated with the G₂⁽¹⁾ R-matrix

C. M. Yung^*, M. T. Batchelor

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We find all the diagonal K-matrices for the R-matrix associated with the minimal representation of the exceptional affine algebra G₂⁽¹⁾. The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin R-matrix associated with the affine algebra A₂⁽²⁾.

Original language	English
Pages (from-to)	395-402
Number of pages	8
Journal	Physics Letters A
Volume	198
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(95)00083-F
Publication status	Published - 13 Mar 1995

Access to Document

10.1016/0375-9601(95)00083-F

Cite this

@article{706b86aee1684901831357d20d4731a0,

title = "Diagonal K-matrices and transfer matrix eigenspectra associated with the G2(1) R-matrix",

abstract = "We find all the diagonal K-matrices for the R-matrix associated with the minimal representation of the exceptional affine algebra G2(1). The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin R-matrix associated with the affine algebra A2(2).",

author = "Yung, \{C. M.\} and Batchelor, \{M. T.\}",

year = "1995",

month = mar,

day = "13",

doi = "10.1016/0375-9601(95)00083-F",

language = "English",

volume = "198",

pages = "395--402",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "5-6",

}

TY - JOUR

T1 - Diagonal K-matrices and transfer matrix eigenspectra associated with the G2(1) R-matrix

AU - Yung, C. M.

AU - Batchelor, M. T.

PY - 1995/3/13

Y1 - 1995/3/13

N2 - We find all the diagonal K-matrices for the R-matrix associated with the minimal representation of the exceptional affine algebra G2(1). The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin R-matrix associated with the affine algebra A2(2).

AB - We find all the diagonal K-matrices for the R-matrix associated with the minimal representation of the exceptional affine algebra G2(1). The corresponding transfer matrices are diagonalized with a variation of the analytic Bethe ansatz. We find many similarities with the case of the Izergin-Korepin R-matrix associated with the affine algebra A2(2).

UR - https://www.scopus.com/pages/publications/0010850803

U2 - 10.1016/0375-9601(95)00083-F

DO - 10.1016/0375-9601(95)00083-F

M3 - Article

AN - SCOPUS:0010850803

SN - 0375-9601

VL - 198

SP - 395

EP - 402

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

Diagonal K-matrices and transfer matrix eigenspectra associated with the G₂⁽¹⁾ R-matrix

Abstract

Access to Document

Other files and links

Fingerprint

Cite this