INTRODUCTION TO QUANTUM INTEGRABILITY
DOI10.1142/S0217751X10049803zbMath1193.81044arXiv0912.3350OpenAlexW3098389305MaRDI QIDQ3583185
Stefano Evangelisti, Giovanni Feverati, Anastasia Doikou, Nikos Karaiskos
Publication date: 26 August 2010
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3350
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Exactly solvable models; Bethe ansatz (82B23) Exactly and quasi-solvable systems arising in quantum theory (81U15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Groups and algebras in quantum theory and relations with integrable systems (81R12) Special quantum systems, such as solvable systems (81Q80)
Related Items (8)
Cites Work
- Unnamed Item
- Unnamed Item
- Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
- From affine Hecke algebras to boundary symmetries
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Irreducible representations of the quantum analogue of SU(2)
- Factorizing particles on a half-line and root systems
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Representations of Coxeter groups and Hecke algebras
- Duality and quantum-algebra symmetry of the \(A^{(1)}_{\mathcal N-1}\) open spin chain with diagonal boundary fields
- Bulk and boundary \(S\)-matrices for the \(\text{SU}(N)\) chain.
- Bethe ansatz and quantum groups: the light-cone lattice approach. I: Six vertex and SOS models
- Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
- Connections of the Liouville model and \(XXZ\) spin chain
- Yang-Baxter symmetry in integrable models: New light from the Bethe ansatz solution
- A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Partition function of the eight-vertex lattice model
- BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
- ALGEBRAIC ASPECTS OF THE BETHE ANSATZ
- On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
- A SPIN CHAIN PRIMER
- Contracted and expanded integrable structures
- On reflection algebras and twisted Yangians
- Algebraic structures related to reflection equations
- AN INTRODUCTION TO YANGIAN SYMMETRIES
- INTEGRABILITY OF OPEN SPIN CHAINS WITH QUANTUM ALGEBRA SYMMETRY
- Hecke algebraic approach to the reflection equation for spin chains
- A diagrammatic approach to Hecke algebras of the reflection equation
- Boundary conditions for integrable quantum systems
- Generalized Blob Algebras and Alcove Geometry
- Hecke algebra solutions to the reflection equation
- Boundary K-matrices for the XYZ, XXZ and XXX spin chains
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- The general Uq(sl(2)) invariant XXZ integrable quantum spin chain
This page was built for publication: INTRODUCTION TO QUANTUM INTEGRABILITY
