Quantum statistics and spacetime surgery
Name
1-s2.0-S0370269320303208-main.pdf
Description
Published version
Size
419.76 KB
Format
Unknown
Checksum (MD5)
a51dbd82422a921100eeb884e93c75e9
Author(s)
Wang, Juven
Wen, Xiao-Gang
Yau, Shing-Tung
Date Issued
May 2020
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publisher
Elsevier BV
Version
Final published version
Abstract
© 2020 The Author(s) It is known that quantum statistics of quasiparticles in 2+1 spacetime dimensions beget anyons, beyond the familiar statistics of bosons and fermions, while Verlinde formula dictates the consistent anyon statistics. In 3+1 dimensions, although quasiparticles cannot be anyonic, extended quasi-excitations like strings can have anyonic string statistics. In this work, we first introduce the fusion and braiding data of particle and string excitations creatable from the operators of (world-) lines/sheets, and all are well-defined in gapped states of matter with intrinsic topological orders. We then apply the geometric-topology surgery theory to derive a set of quantum surgery formulas analogous to Verlinde's constraining the fusion and braiding quantum statistics of anyonic particle and anyonic string excitations in 2+1 and 3+1 dimensions, essential for the theory of bulk topological orders and potentially correlated to bootstrap boundary physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.PHYSLETB.2020.135516
