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Spin Topological Field Theory and Fermionic Matrix Product States

Kapustin, Anton and Turzillo, Alex and You, Minyoung (2018) Spin Topological Field Theory and Fermionic Matrix Product States. Physical Review B, 98 (12). Art. No. 125101. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20161202-140551166

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.98.125101DOIArticle
http://arxiv.org/abs/1610.10075arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Turzillo, Alex0000-0003-4293-4293
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.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons FoundationUNSPECIFIED
Issue or Number:12
Record Number:CaltechAUTHORS:20161202-140551166
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161202-140551166
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72535
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:04 Sep 2018 17:06
Last Modified:03 Oct 2019 16:18

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