Matrix product solutions to the reflection equation from three dimensional integrability
From MaRDI portal
Publication:4578193
DOI10.1088/1751-8121/aac3b4zbMath1395.81132arXiv1802.09164OpenAlexW2788012066MaRDI QIDQ4578193
Atsuo Kuniba, Vincent Pasquier
Publication date: 8 August 2018
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.09164
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Noncommutative geometry in quantum theory (81R60) Yang-Baxter equations (16T25)
Related Items (7)
Reflection $\boldsymbol{K}$ matrices associated with an Onsager coideal of $\boldsymbol{U_p(A^{(1)}_{n-1})}, \boldsymbol{U_p(B^{(1)}_{n})}, $ $ \boldsymbol{U_p(D^{(1)}_{n})}$ and $\boldsymbol{U_p(D^{(2)}_{n+1})}$ ⋮ Tetrahedron equation and quantum \(R\) matrices for \(q\)-oscillator representations mixing particles and holes ⋮ Quantum spin chains from Onsager algebras and reflection \(K\)-matrices ⋮ New solutions to the tetrahedron equation associated with quantized six-vertex models ⋮ Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras ⋮ Boundary matrices for the higher spin six vertex model ⋮ Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tetrahedron equation and quantum \(R\) matrices for spin representations of \(B^{(1)}_n\), \(D^{(1)}_n\) and \(D^{(2)}_{n+1}\)
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Quantum R matrix for the generalized Toda system
- Integrable quantum systems and classical Lie algebras
- Tetrahedron Reflection Equations
- Two-Dimensional R-Matrices — Descendants of Three-Dimensional R-Matrices
- Multispecies TASEP and the tetrahedron equation
- Tetrahedron and 3D reflection equations from quantized algebra of functions
- SELECTED TOPICS IN QUANTUM GROUPS
- Exact solution of a 1D asymmetric exclusion model using a matrix formulation
- Boundary conditions for integrable quantum systems
- Zamolodchikov's tetrahedron equation and hidden structure of quantum groups
This page was built for publication: Matrix product solutions to the reflection equation from three dimensional integrability