THE MODIFIED XXZ HEISENBERG CHAIN: CONFORMAL INVARIANCE, SURFACE EXPONENTS OF c<1 SYSTEMS AND HIDDEN SYMMETRIES OF FINITE CHAINS

DOI10.1142/S0217979290000474zbMath0719.17022arXivhep-th/0311085OpenAlexW2130543301MaRDI QIDQ5751046

Publication date: 1990

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0311085

zbMATH Keywords

critical phenomena Virasoro algebra irreducible representations Heisenberg chain

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) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

The periodic \(s(2|1)\) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at \(c = 0\) ⋮ \(U_{\mathfrak{q}}\mathfrak{sl}_2 \)-invariant non-compact boundary conditions for the XXZ spin chain ⋮ Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the \(\mathfrak{gl}(1|1)\) periodic spin chain, Howe duality and the interchiral algebra ⋮ The action of the Virasoro algebra in quantum spin chains. I: The non-rational case ⋮ One-boundary Temperley–Lieb algebras in the XXZ and loop models ⋮ The spin-\(1/2\) \(XXZ\) Heisenberg chain, the quantum algebra \(U_q[sl(2)\), and duality transformations for minimal models]

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