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

Rafael Nepomechie, Rodrigo A. Pimenta

Research output: Contribution to journal › Article

2 Citations (Scopus)

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

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Transfer Matrix
Quantum Groups
Symmetry
symmetry
Dynkin Diagram
Matrix Groups
Yang-Baxter Equation
Spin Chains
Duality
diagrams
Vertex of a graph

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)

Cite this

New D2 n+1 K-matrices with quantum group symmetry. / Nepomechie, Rafael; Pimenta, Rodrigo A.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 51, No. 39, 39LT02, 30.08.2018.

Research output: Contribution to journal › Article

Nepomechie, R & Pimenta, RA 2018, 'New D2 n+1 K-matrices with quantum group symmetry', Journal of Physics A: Mathematical and Theoretical, vol. 51, no. 39, 39LT02. https://doi.org/10.1088/1751-8121/aad957
Nepomechie R, Pimenta RA. New D2 n+1 K-matrices with quantum group symmetry. Journal of Physics A: Mathematical and Theoretical. 2018 Aug 30;51(39). 39LT02. https://doi.org/10.1088/1751-8121/aad957
Nepomechie, Rafael ; Pimenta, Rodrigo A. / New D2 n+1 K-matrices with quantum group symmetry. In: Journal of Physics A: Mathematical and Theoretical. 2018 ; Vol. 51, No. 39.
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