Published September 15, 2018
| Published + Submitted
Journal Article
Open
Spin Topological Field Theory and Fermionic Matrix Product States
- Creators
-
Kapustin, Anton
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Turzillo, Alex
- You, Minyoung
Chicago
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Abstract
We study state-sum constructions of G-equivariant spin topological quantum field theory (TQFTs) and their relationship to matrix product states. In the Neveu-Schwarz, Ramond, and twisted sectors, states of the TQFT are generalized matrix product states. Our results are applied to the classification of fermionic short-range-entangled phases with a unitary symmetry G to determine the group law on the set of such phases. Interesting subtleties appear when the total symmetry group is a nontrivial extension of G by fermion parity.
Additional Information
© 2018 American Physical Society. Received 27 February 2018; published 4 September 2018. The research of A.K. was supported by the U. S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the Simons Investigator Award.Attached Files
Published - PhysRevB.98.125101.pdf
Submitted - 1610.10075.pdf
Files
PhysRevB.98.125101.pdf
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Additional details
- Eprint ID
- 72535
- Resolver ID
- CaltechAUTHORS:20161202-140551166
- Department of Energy (DOE)
- DE-SC0011632
- Simons Foundation
- Created
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2018-09-04Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field