Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kac's conjecture and the algebra of BPS states   Let Q be an affine quiver and let $\mathfrak{n}$ be the positive part of the
affine Lie algebra associated to Q. We provide a construction of $\mathfrak{n}$
using the semistable irreducible components in the Lusztig nilpotent variety
associated to Q. This confirms a conjecture of Frenkel, Malkin, and Vybornov on
defining the so-called algebra of BPS states on the minimal resolution of a
Kleinian singularity. Using the results of Crawley-Boevey and Van den Bergh, we
show that our construction is closely connected to Kac's constant term
conjecture in the case of an affine quiver.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
3
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: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph