Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete characterization of spin chains with two Ising symmetries   Spin chains with two Ising symmetries are the Jordan-Wigner duals of
one-dimensional interacting fermions with particle-hole and time-reversal
symmetry. From earlier works on Majorana chains, it is known that this class of
models has 10 distinct topological phases. In this paper, we analyze the
physical properties of the correspondent 10 phases of the spin model. In
particular, thanks to a set of two non-commuting dualities, we determine the
local and non-local order parameters of the phases. We find that 4 phases are
topologically protected by the Ising symmetries, while the other 6 break at
least one symmetry. Our study highlights the non-trivial relation between the
topological classifications of interacting bosons and fermions.

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The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
1
The categories of this paper are: cs
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The categories of this paper are: solv-int