A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part I: algebraic structures in the spin chain. The Brauer algebra

DOI10.1016/j.nuclphysb.2008.09.034zbMath1192.82017arXiv0801.0430OpenAlexW1964588357MaRDI QIDQ985836

Hubert Saleur, Constantin Candu

Publication date: 6 August 2010

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

Full work available at URL: https://arxiv.org/abs/0801.0430

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Brauer groups (algebraic aspects) (16K50)

Related Items

Anomalous dimensions in deformed WZW models on supergroups ⋮ Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups ⋮ The sigma model on complex projective superspaces ⋮ Spectra of coset sigma models ⋮ The continuum limit of gl(\(M|N\)) spin chains ⋮ Cohomological reduction of sigma models ⋮ Edge states and conformal boundary conditions in super spin chains and super sigma models ⋮ A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part II: The boundary spectrum ⋮ The action of the Virasoro algebra in quantum spin chains. I: The non-rational case ⋮ The \(GL(11)\)-symplectic fermion correspondence ⋮ The decomposition matrices of the Brauer algebra over the complex field ⋮ On geometrically defined extensions of the Temperley-Lieb category in the Brauer category

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