Journal article
State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
Abstract
It is possible to describe fermionic phases of matter and spin-topological field theories in 2+1d in terms of bosonic “shadow” theories, which are obtained from the original theory by “gauging fermionic parity”. The fermionic/spin theories are recovered from their shadow by a process of fermionic anyon condensation: gauging a one-form symmetry generated by quasi-particles with fermionic statistics. We apply the formalism to theories which admit …
Authors
Bhardwaj L; Gaiotto D; Kapustin A
Journal
Journal of High Energy Physics, Vol. 2017, No. 4,
Publisher
Springer Nature
Publication Date
April 2017
DOI
10.1007/jhep04(2017)096
ISSN
1126-6708