Reflection matrices from Hadamard-type Temperley-Lieb R-matrices
J. Avan, P.P. Kulish, G. Rollet
TL;DR
This paper classifies reflection matrices compatible with Hadamard-type Temperley-Lieb R-matrices, providing a universal algebraic framework for solutions in quantum integrable systems.
Contribution
It introduces a comprehensive classification of reflection matrices for a new class of Temperley-Lieb R-matrices using a universal algebraic approach.
Findings
Classified all solutions to the quantum reflection equation for these R-matrices.
Established a universal set of algebraic equations characterizing the solutions.
Connected the solutions to a canonical basis defined by the Master matrix.
Abstract
We classify non-operatorial matrices K solving Skylanin's quantum reflection equation for all R-matrices obtained from the newly defined general rank- n Hadamard type representations of the Temperley-Lieb algebra . They are characterized by a universal set of algebraic equations in a specific canonical basis uniquely defined from the "Master matrix" associated to the chosen realization of Temperley-Lieb algebra
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.