Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplicity of higher rank triplet W-algebras   We show that the higher rank triplet W-algebra is simple when p is bigger
than or equal to h-1. Furthermore, we show that the Feigin-Tipunin's module
over the higher rank triplet W-algebra introduced in arXiv:1002.5047 is simple
if the parameter is in the closure of the fundamental alcove, and give the
decomposition as a direct sum of simple modules over the affine W-algebras at
level p-h.

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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg