Integrable anyon chains: from fusion rules to face models to effective field theories

DOI10.1016/j.nuclphysb.2014.10.017zbMath1326.82004arXiv1408.1282OpenAlexW1986941472MaRDI QIDQ895362

Holger Frahm, Peter E. Finch, Michael A. I. Flohr

Publication date: 2 December 2015

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

Full work available at URL: https://arxiv.org/abs/1408.1282

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Continuum limits in quantum field theory (81T27) Applications of Lie groups to the sciences; explicit representations (22E70) Exactly solvable models; Bethe ansatz (82B23) Noncommutative geometry methods in quantum field theory (81T75) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)

Related Items

Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain, Universal Bethe ansatz solution for the Temperley-Lieb spin chain, Non-Abelian ${SU}{(3)}_{k}$ anyons: inversion identities for higher rank face models, Condensation of non-Abelian ${SU(3)_{N_f}}$ anyons in a one-dimensional fermion model, Condensates of interacting non-abelian \(\mathrm{SO}(5)_{ N_f}\) anyons, Z_nclock models and chains ofso(n)₂non-Abelian anyons: symmetries, integrable points and low energy properties

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