Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact wavefunction dualities and phase diagrams of 3D quantum vertex
  models   We construct a broad class of frustration-free quantum vertex models in 3+1D
whose ground states are weighted superpositions of classical 3D vertex model
configurations. For the simplest members of this class, the corresponding
classical vertex models have a $\mathbb{Z}_2$ gauge constraint enriched with a
$\mathbb{Z}_2$ global symmetry. We deduce a phase diagram for the quantum
vertex models using exact dualities and mappings to classical spin models and
height models. We find $\mathbb{Z}_2$ deconfined and $\mathbb{Z}_2$
symmetry-broken phases which are mapped to one another by duality. The
transition between these phases is governed by a self-dual gapless point which
is related by a different duality to the Rokhsar-Kivelson (RK) point of quantum
spin ice. Our results are illustrated for diamond and cubic lattices, but hold
for general 3D lattices with even coordination number.

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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph