Pith. sign in

REVIEW 1 cited by

Baxterization for the dynamical Yang-Baxter equation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2310.04728 v2 pith:3ARKK74B submitted 2023-10-07 math.RT math-phmath.MPmath.QAnlin.SI

Muze Ren This is my paper · ORCID
classification math.RTmath-phmath.MPmath.QAnlin.SI
keywords dynamicalbaxterizationequationintegrablematrixoperatorssomeyang-baxter
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The Baxterization process for the dynamical Yang-Baxter equation is studied. We introduce the local dynamical Hecke ,Temperley-Lieb and Birman-Murakami-Wenzl operators, then by inserting spectral parameters, from each representation of these operators, we get dynamical R matrix under some conditions. As applications, we reformulate trigonometric degeneration of elliptic quantum group representations and also get dynamical R matrix for critical ADE integrable lattice models. Through Baxterization, we construct some one dimensional integrable systems that are dynamical version of the Heisenberg spin chain.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Long-range to the Rescue of Yang-Baxter II

    hep-th 2025-07 conditional novelty 6.0 of 10

    A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.

Pith tools