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Foliated Quantum Field Theory of Fracton Order

Slagle, Kevin (2021) Foliated Quantum Field Theory of Fracton Order. Physical Review Letters, 126 (10). Art. No. 101603. ISSN 0031-9007. doi:10.1103/PhysRevLett.126.101603.

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We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in the continuum. FQFT is defined on a manifold with a layered structure given by one or more foliations, which each decompose spacetime into a stack of layers. FQFT involves a new kind of gauge field, a foliated gauge field, which behaves similar to a collection of independent gauge fields on this stack of layers. Gauge invariant operators (and their analogous particle mobilities) are constrained to the intersection of one or more layers from different foliations. The level coefficients are quantized and exhibit a duality that spatially transforms the coefficients. This duality occurs because the FQFT is a foliated fracton order. That is, the duality can decouple 2+1D gauge theories from the FQFT through a process we dub exfoliation.

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Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. Received 14 August 2020; accepted 4 February 2021; published 12 March 2021. We thank Shu-Heng Shao, Nathan Seiberg, Ho Tat Lam, Pranay Gorantla, Po-Shen Hsin, Anton Kapustin, Xie Chen, and Wilbur Shirley for helpful discussion. K. S. is supported by the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
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Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20210106-102255003
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107333
Deposited By: George Porter
Deposited On:06 Jan 2021 20:03
Last Modified:16 Nov 2021 19:01

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