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Article Dans Une Revue Annals of Physics Année : 2022

Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs

Nathan Geer
  • Fonction : Auteur
Aaron Lauda
Joshua Sussan
  • Fonction : Auteur

Résumé

We construct large classes of exactly solvable pseudo-Hermitian 2D spin Hamiltonians. The ground states of these systems depend only on the spatial topology of the system. We identify the ground state system on a surface with the value assigned to the surface by a non-semisimple TQFT generalizing the Turaev-Viro model. A non-trivial example arises from a non-semisimple subcategory of representations of quantum sl(2) where the quantum parameter is specialized to a root of unity.

Dates et versions

hal-03428777 , version 1 (15-11-2021)

Identifiants

Citer

Nathan Geer, Aaron Lauda, Bertrand Patureau-Mirand, Joshua Sussan. Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs. Annals of Physics, 2022, 442, pp.168937. ⟨10.1016/j.aop.2022.168937⟩. ⟨hal-03428777⟩
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