Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Product SCFTs in Class-S   We develop a technique for counting the number of stress tensor multiplets in
a 4D $\mathcal{N}=2$ SCFT. This provides a simple diagnostic for when an
isolated (non-Lagrangian) SCFT is a product of two (or more) such theories. In
class-S, the basic building blocks are the isolated SCFTs arising from the
compactification of a 6D (2,0) theory on a 3-punctured sphere ("fixture"). We
apply our technique to determine when a fixture is a product SCFT. The answer
is that this phenomenon is surprisingly rare. In the low-rank $A_{N-1}$, $D_N$
theories and the $E_6$ theory studied by the first author and his
collaborators, it occurs less than $1\%$ of the time. Of the 2979 fixtures in
the (untwisted and twisted) $E_6$ theory, only 23 are product SCFTs. Of these,
22 were known to the original authors. The new one is a product of the
${(E_7)}_8$ Minahan-Nemeschansky theory and a new rank-2 SCFT.

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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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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: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: eess