New solutions to the Reflection Equation and the projecting method

Abstract

New integrable boundary conditions for integrable quantum systems can be constructed by tuning of scattering phases due to reflection at a boundary and an adjacent impurity and subsequent projection onto sub-spaces. We illustrate this mechanism by considering a gl(m<n)-impurity attached to an open gl(n)-invariant quantum chain and a Kondo spin S coupled to the supersymmetric t-J model.

Latex2e, no figures

References in corpus (2)

• Exact solution of the open Heisenberg chain with two impurities
• Integrabilities of the $t-J$ Model with Impurities

Cited by in corpus (24)

• Hecke algebraic approach to the reflection equation for spin chains
• Open t-J chain with boundary impurities
• From affine Hecke algebras to boundary symmetries
• Baxterized Solutions of Reflection Equation and Integrable Chain Models
• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
• Coupling integrable field theories to mechanical systems at the boundary
• On the boundaries of quantum integrability for the spin-1/2 Richardson-Gaudin system
• The open XXZ and associated models at q root of unity
• On integrable Hamiltonians for higher spin XXZ chain
• Integrability of the $D_n^2$ vertex models with open boundary
• Integrable impurities for an open fermion chain
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Integrable Open Spin Chains from Flavored ABJM Theory
• Boundary Kondo impurities in the generalized supersymmetric t-J model
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Inversion identities for inhomogeneous face models
• Bethe Ansatz solution of the small polaron with nondiagonal boundary terms
• A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons
• Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
• On the classification of rational K-matrices
• Integrable Kondo impurities in one-dimensional extended Hubbard models
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model