PT symmetry on the lattice: the quantum group invariantXXZspin chain

DOI10.1088/1751-8113/40/30/016zbMath1137.81021arXivmath-ph/0703085OpenAlexW3102883908MaRDI QIDQ5757558

Robert A. Weston, Christian Korff

Publication date: 7 September 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703085

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) 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)

Related Items (11)

Exact solution of an integrable anisotropic $\boldsymbol{J_1-J_2}$ spin chain model ⋮ Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity ⋮ Irreversibility of the renormalization group flow in non-unitary quantum field theory ⋮ Exact solution of a non-Hermitian PT -symmetric spin chain ⋮ The idempotents of the TL\(_n\)-module \(\otimes^n\mathbb C2\) in terms of elements of \(\mathrm{U}_q\mathfrak{sl}_2\) ⋮ The Jordan structure of two-dimensional loop models ⋮ On the reality of spectra ofU_q(sl₂)-invariant XXZ Hamiltonians ⋮ Non-Hermitian spin chains with inhomogeneous coupling ⋮ Constructing exactly solvable pseudo-Hermitian many-particle quantum systems by isospectral deformation ⋮ Entanglement entropy of non-unitary integrable quantum field theory ⋮ Antiperiodic XXZ chains with arbitrary spins: complete eigenstate construction by functional equations in separation of variables

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