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Topological Order of Quantum Gravity in AdS3 Spacetime

2021/12/02 by JIngbo Wang, Wang, JIngbo
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.2112.00937

5 pages, comments are welcome

arxiv created 2021/12/02 · arxiv updated 2021/12/03

Abstract

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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