Commuting difference operators arising from the elliptic C(1)2-face model

Koji Hasegawa, Takeshi Ikeda, Tetsuya Kikuchi

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study a pair of commuting difference operators arising from the elliptic C(1)2-face model. The operators, whose coefficients are expressed in terms of the Jacobi's elliptic theta function, act on the space of meromorphic functions on the weight space of the C2-type simple Lie algebra. We show that the space of functions spanned by the level one characters of the affine Lie algebra sp∧(4,C) is invariant under the action of the difference operators.

Original languageEnglish
Pages (from-to)4549-4568
Number of pages20
JournalJournal of Mathematical Physics
Volume40
Issue number9
DOIs
Publication statusPublished - 1999 Sep
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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