Topological order of quantum gravity in AdS3 spacetime

Document Type : Regular article


Institute for Gravitation and Astrophysics, College of Physics and Electronic Engineering, Xinyang Normal University, Xinyang, 464000, P. R. China


Topological order is a new type order that beyond Landau's symmetry breaking theory. It has some interesting properties, such as producing quasi-particles with fractional quantum numbers and fractional/Fermi statistics, robust gapless boundary modes and emergent gauge excitations. In this essay, we will show that the quantum gravity in AdS3 spacetime can also have topological orders. Actually the theory has all the three features that define the topological order. We conjecture that quantum gravity in four dimension can also have topological orders.


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Volume 2, Issue 1
We would like to dedicate this issue to the memory of Prof. John D. Barrow.
January 2022
Pages 89-93
  • Receive Date: 10 December 2021
  • Revise Date: 14 January 2022
  • Accept Date: 23 January 2022