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Bosonization in three spatial dimensions and a 2-form gauge theory

Chen, Yu-An and Kapustin, Anton (2018) Bosonization in three spatial dimensions and a 2-form gauge theory. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20181022-110515479

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Abstract

We describe a 3d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 3d spatial lattice to a 2-form Z_2 gauge theory with an unusual Gauss law. An important property of this map is that it preserves the locality of the Hamiltonian. We give examples of 3d bosonic systems dual to free fermions and describe the corresponding 4D Euclidean lattice models.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1807.07081arXivDiscussion Paper
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Record Number:CaltechAUTHORS:20181022-110515479
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181022-110515479
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90324
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Oct 2018 20:49
Last Modified:22 Oct 2018 20:49

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