New D2 n+1 K-matrices with quantum group symmetry

Rafael I. Nepomechie, Rodrigo A. Pimenta

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We propose new families of solutions of the D2 n+1 boundary Yang-Baxter equation. The open spin-chain transfer matrices constructed with these K-matrices have quantum group symmetry corresponding to removing one node from the D2 n+1 Dynkin diagram, namely, Uq(Bn-p) O× Uq(Bp), where p = 0,⋯, n. These transfer matrices also have a p ↔ n - p duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.

Original languageEnglish (US)
Article number39LT02
JournalJournal of Physics A: Mathematical and Theoretical
Volume51
Issue number39
DOIs
StatePublished - Aug 30 2018

Keywords

  • boundary Yang-Baxter equation
  • integrable quantum spin chains
  • quantum group

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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