Topological entanglement negativity in Chern-Simons theories

Xueda Wen, Po Yao Chang, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


We study the topological entanglement negativity between two spatial regions in (2+1)-dimensional Chern-Simons gauge theories by using the replica trick and the surgery method. For a bipartitioned or tripartitioned spatial manifold, we show how the topological entanglement negativity depends on the presence of quasiparticles and the choice of ground states. In particular, for two adjacent non-contractible regions on a tripartitioned torus, the entanglement negativity provides a simple way to distinguish Abelian and non-Abelian theories. Our method applies to a Chern-Simons gauge theory defined on an arbitrary oriented (2+1)-dimensional spacetime manifold. Our results agree with the edge theory approach in a recent work [35].

Original languageEnglish (US)
Article number12
JournalJournal of High Energy Physics
Issue number9
StatePublished - Sep 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Chern-Simons Theories
  • Topological Field Theories


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