\(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain

DOI10.1007/JHEP11(2022)016MaRDI QIDQ2686328

Azat M. Gainutdinov, Dmitry Chernyak, Hubert Saleur

Publication date: 27 February 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12772

zbMATH Keywords

quantum groupsconformal and W symmetryboundary quantum field theorylattice integrable models

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items

Non-invertible symmetries and RG flows in the two-dimensional \(O(n)\) loop model, Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry

Cites Work

• Boundary spectra in superspace \(\sigma \)-models
• Conformal boundary loop models
• The Lawrence-Krammer-Bigelow representations of the braid groups via \(U_q(\mathfrak{sl}_2)\).
• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Magic in the spectra of the \(XXZ\) quantum chain with boundaries at \(\Delta =0\) and \(\Delta = - 1/2\)
• The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
• Modified algebraic Bethe ansatz for XXZ chain on the segment. II: General cases
• Conformal two-boundary loop model on the annulus
• The \(GL(11)\)-symplectic fermion correspondence
• The two-boundary Temperley-Lieb algebra.
• 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
• Composition of kinetic momenta: The \({\mathcal U}_ q(sl(2))\) case
• The blob algebra and the periodic Temperley-Lieb algebra
• The Temperley-Lieb algebra at roots of unity
• Exact solution of XXZ spin chain with unparallel boundary fields
• \(N=2\) boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• On non-equilibrium states in QFT model with boundary interaction
• Functional relations and Bethe Ansatz for the \(XXZ\) chain
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• On the structure of the blob algebra
• Tensor product categorifications, Verma modules and the blob 2-category
• Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)
• A physical approach to the classification of indecomposable Virasoro representations from the blob algebra
• Logarithmic conformal field theory: beyond an introduction
• Lattice W-algebras and logarithmic CFTs
• Bethe ansatz for the Temperley–Lieb loop model with open boundaries
• Exact expressions for correlations in the ground state of the dense O(1) loop model
• Conformal field theory out of equilibrium: a review
• The logarithmic triplet theory with boundary
• Modified quantum dimensions and re-normalized link invariants
• The -model with boundaries: Part I. Diagonalization of the finite chain
• ON SCHUR-WEYL DUALITY, A_n HECKE ALGEBRAS AND QUANTUM sl(N) ON $\otimes^{n+1}{\mathbb C}^N$
• ON COMMUTANTS, DUAL PAIRS AND NON-SEMISIMPLE ALGEBRAS FROM STATISTICAL MECHANICS
• Boundary K-matrices for the six vertex and the n(2n-1)A_n-1vertex models
• Hecke algebraic approach to the reflection equation for spin chains
• Bethe ansatz solution of the open XXZ chain with nondiagonal boundary terms
• TheXXmodel with boundaries: II. Finite-size scaling and partition functions
• Boundary K-matrices for the XYZ, XXZ and XXX spin chains
• One-boundary Temperley–Lieb algebras in the XXZ and loop models
• The Temperley–Lieb algebra and its generalizations in the Potts andXXZmodels
• Exact spectrum of the XXZ open spin chain from theq-Onsager algebra representation theory
• 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 MODIFIED XXZ HEISENBERG CHAIN: CONFORMAL INVARIANCE, SURFACE EXPONENTS OF c<1 SYSTEMS AND HIDDEN SYMMETRIES OF FINITE CHAINS
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain
• Symplectic fermions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item