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hep-thFeb 16, 1994
19
citations (OpenAlex)
authors
  • Uwe Grimm
institutions
  • University of Amsterdam
arXiv abstractPDF
paper

Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami Algebra

arXiv:hep-th/9402094 · doi:10.1007/BF00750661

Abstract

Explicit expressions for three series of R matrices which are related to a ``dilute'' generalisation of the Birman--Wenzl--Murakami are presented. Of those, one series is equivalent to the quantum R matrices of the Dn+1(2)​ generalised Toda systems whereas the remaining two series appear to be new.

5 pages

References in corpus (1)

  • Multi-Colour Braid-Monoid Algebras

Cited by in corpus (13)

  • R-matrices and Spectrum of Vertex Models based on Superalgebras
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  • Critical points in coupled Potts models and critical phases in coupled loop models
  • New R-matrices from Representations of Braid-Monoid Algebras based on Superalgebras
  • Solvable RSOS models based on the dilute BWM algebra
  • An integrable modification of the critical Chalker-Coddington network model
  • Dilute Birman--Wenzl--Murakami Algebra and Dn+1(2)​ models
  • Unified algebraic Bethe ansatz for two-dimensional lattice models
  • The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
  • Exactly soluble isotropic spin-1/2 ladder models
  • Yang-Baxter algebras based on the two-colour BWM algebra
  • On truncations of the Chalker-Coddington model
  • Reflection matrices with Uq​[osp(2)(2∣2m)] symmetry
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