Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introduction to abelian and non-abelian anyons   In this set of lectures, we will start with a brief pedagogical introduction
to abelian anyons and their properties. This will essentially cover the
background material with an introduction to basic concepts in anyon physics,
fractional statistics, braid groups and abelian anyons. The next topic that we
will study is a specific exactly solvable model, called the toric code model,
whose excitations have (mutual) anyon statistics. Then we will go on to discuss
non-abelian anyons, where we will use the one dimensional Kitaev model as a
prototypical example to produce Majorana modes at the edge. We will then
explicitly derive the non-abelian unitary matrices under exchange of these
Majorana modes.

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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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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: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th