Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An infinite-dimensional 2-generated primitive axial algebra of Monster
  type   Rehren proved that a primitive 2-generated axial algebra of Monster type
$(\alpha,\beta)$ has dimension at most eight if
$\alpha\notin\{2\beta,4\beta\}$. In this note we construct an
infinite-dimensional 2-generated primitive axial algebra of Monster type
$(2,\frac{1}{2})$ over an arbitrary field $F$ with $char(F)\neq 2,3$. This
shows that the second special case, $\alpha=4\beta$, is a true exception to
Rehren's bound.

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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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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: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: astro-ph