REVIEW 1 cited by
Integrability of the Six-Vertex model and the Yang-Baxter Groupoid
Not yet reviewed by Pith; the record is open.
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
Signed reviews
abstract
We study the Yang-Baxter equation for the $R$-matrices of the six-vertex model. We analyze the solutions and give new parametrizations of the Yang-Baxter equation. In particular, we find the maximal commutative families of parametrized solutions which generalize the $R$-matrices from the affine quantum (super)-groups. Then we give a new parametrization of the Yang-Baxter equation by a groupoid of non-free-fermionic matrices. In the appendix, we study the general algebraic structure of the solutions of the Yang-Baxter and formulate a conjecture that extends the conjecture by Brubaker, Bump, and Friedberg that the composition law on the Yang-Baxter solutions is always associative.
Forward citations
Cited by 1 Pith paper
-
The Sch\"utzenberger involution and colored lattice models
A new left-moving family of colored lattice models is proven solvable and dual to the right-moving family, with the crystal limit yielding a Schützenberger involution bijection on Gelfand-Tsetlin patterns.
Discussion (0). Continue with ORCID to comment.