Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berry Phases of Vison Transport in $\mathbb{Z}_2$ Topological Ordered
  States from Exact Fermion-Flux Lattice Dualities   We develop an exact map of all states and operators from 2D lattices of
spins-$1/2$ into lattices of fermions and bosons with mutual semionic
statistical interaction that goes beyond previous dualities of $\mathbb{Z}_2$
lattice gauge theories because it does not rely on imposing local conservation
laws and captures the motion of "charges" and "fluxes" on equal footing. This
map allows to explicitly compute the Berry phases for the transport of fluxes
in symmetry enriched topologically ordered states that can be either chiral,
non-chiral, abelian or non-abelian, and whose numerical complexity reduces to
diagonalizing free-fermion Hamiltonians. Among other results, we establish
numerically the conditions under which the Majorana-carrying flux excitation in
Ising-Topologically-Ordered states enriched by translations acquires $0$ or
$\pi$ phase when moving around a single plaquette.

8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th