Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Gauge Theory Model of Topological Phases in Three Dimensions   We propose an exactly solvable lattice Hamiltonian model of topological
phases in $3+1$ dimensions, based on a generic finite group $G$ and a
$4$-cocycle $\omega$ over $G$. We show that our model has topologically
protected degenerate ground states and obtain the formula of its ground state
degeneracy on the $3$-torus. In particular, the ground state spectrum implies
the existence of purely three-dimensional looplike quasi-excitations specified
by two nontrivial flux indices and one charge index. We also construct other
nontrivial topological observables of the model, namely the $SL(3,\mathbb{Z})$
generators as the modular $S$ and $T$ matrices of the ground states, which
yield a set of topological quantum numbers classified by $\omega$ and
quantities derived from $\omega$. Our model fulfills a Hamiltonian extension of
the $3+1$-dimensional Dijkgraaf-Witten topological gauge theory with a gauge
group $G$. This work is presented to be accessible for a wide range of
physicists and mathematicians.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: econ
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph