Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Woven Nematic Defects, Skyrmions and the Abelian Sandpile Model   We show that a fixed set of woven defect lines in a nematic liquid crystal
supports a set of non-singular topological states which can be mapped on to
recurrent stable configurations in the Abelian sandpile model or chip-firing
game. The physical correspondence between local Skyrmion flux and sandpile
height is made between the two models. Using a toy model of the elastic energy,
we examine the structure of energy minima as a function of topological class
and show that the system admits domain wall Skyrmion solitons.

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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph