Accéder directement au contenu Accéder directement à la navigation
Nouvelle interface
Pré-publication, Document de travail

Symmetries and field tensor network states

Abstract : We study the interplay between symmetry representations of the physical and virtual space on the class of tensor network states for critical spins systems known as field tensor network states (fTNS). These are by construction infinite dimensional tensor networks whose virtual space is described by a conformal field theory (CFT). We can represent a symmetry on the physical index as a commutator with the corresponding CFT current on the virtual space. By then studying this virtual space representation we can learn about the critical symmetry protected topological properties of the state, akin to the classification of symmetry protected topological order for matrix product states. We use this to analytically derive the critical symmetry protected topological properties of the two ground states of the Majumdar-Ghosh point with respect to the previously defined symmetries.
Type de document :
Pré-publication, Document de travail
Liste complète des métadonnées

https://hal-mines-paristech.archives-ouvertes.fr/hal-03858060
Contributeur : Antoine Tilloy Connectez-vous pour contacter le contributeur
Soumis le : jeudi 17 novembre 2022 - 15:45:56
Dernière modification le : samedi 19 novembre 2022 - 04:04:31

Lien texte intégral

Identifiants

  • HAL Id : hal-03858060, version 1
  • ARXIV : 2209.11253

Citation

Albert Gasull, Antoine Tilloy, Juan Ignacio Cirac, Germán Sierra. Symmetries and field tensor network states. {date}. ⟨hal-03858060⟩

Partager

Métriques

Consultations de la notice

0