Topological entanglement entropy, ground state degeneracy and holography

Andrei Parnachev, Napat Poovuttikul*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Abstract: Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a class of holographic models where such relation might be similar to the one exhibited by Chern-Simons theory in a certain large N limit. Both the non-vanishing topological entanglement entropy and the ground state degeneracy in these holographic models are consequences of the topological Gauss-Bonnet term in the dual gravitational description. A soft wall holographic model of confinement is used to generate finite correlation length but keep the disk topology of the entangling surface in the bulk, necessary for nonvanishing topological entanglement entropy.

Original languageEnglish
Article number92
JournalJournal of High Energy Physics
Issue number10
Publication statusPublished - 1 Oct 2015

Bibliographical note

Publisher Copyright:
© 2015, The Author(s).

Other keywords

  • AdS-CFT Correspondence
  • Chern-Simons Theories
  • Topological States of Matter


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