Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain

DOI10.1016/j.nuclphysb.2013.01.018zbMath1262.81158arXiv1112.3403OpenAlexW1621478737MaRDI QIDQ1950590

N. Read, Azat M. Gainutdinov, Hubert Saleur

Publication date: 13 May 2013

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.3403

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) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Continuum limits in quantum field theory (81T27) Applications of selfadjoint operator algebras to physics (46L60) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (14)

A fusion for the periodic Temperley-Lieb algebra and its continuum limit ⋮ The periodic \(s(2|1)\) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at \(c = 0\) ⋮ On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories ⋮ 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 ⋮ Bimodule structure in the periodic \({\mathfrak g}\ell (1|1)\) spin chain ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models ⋮ Operator content of the critical Potts model in \(d\) dimensions and logarithmic correlations ⋮ On the reality of spectra ofU_q(sl₂)-invariant XXZ Hamiltonians ⋮ Holomorphic symplectic fermions ⋮ A braided monoidal category for free super-bosons ⋮ The action of the Virasoro algebra in quantum spin chains. I: The non-rational case ⋮ of anyonic chains ⋮ Boundary algebras and Kac modules for logarithmic minimal models

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