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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)

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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)
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
Record Number:CaltechAUTHORS:20181022-110515479
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90324
Deposited By: Tony Diaz
Deposited On:22 Oct 2018 20:49
Last Modified:22 Oct 2018 20:49

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