Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional excitations in foliated fracton phases   Fractional excitations in fracton models exhibit novel features not present
in conventional topological phases: their mobility is constrained, there are an
infinitude of types, and they bear an exotic sense of 'braiding'. Hence, they
require a new framework for proper characterization. Based on our definition of
foliated fracton phases in which equivalence between models includes the
possibility of adding layers of gapped 2D states, we propose to characterize
fractional excitations in these phases up to the addition of quasiparticles
with 2D mobility. That is, two quasiparticles differing by a set of
quasiparticles that move along 2D planes are considered to be equivalent;
likewise, 'braiding' statistics are measured in a way that is insensitive to
the attachment of 2D quasiparticles. The fractional excitation types and
statistics defined in this way provide a universal characterization of the
underlying foliated fracton order which can subsequently be used to establish
phase relations. We demonstrate as an example the equivalence between the
X-cube model and the semionic X-cube model both in terms of fractional
excitations and through an exact mapping.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
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The categories of this paper are: math
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: supr-con