Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds   We study 7D maximally supersymmetric Yang-Mills theory on 3-Sasakian
manifolds. For manifolds whose hyper-K\"ahler cones are hypertoric we derive
the perturbative part of the partition function. The answer involves a special
function that counts integer lattice points in a rational convex polyhedral
cone determined by hypertoric data. This also gives a more geometric structure
to previous enumeration results of holomorphic functions in the literature.
Based on physics intuition, we provide a factorisation result for such
functions. The full proof of this factorisation using index calculations will
be detailed in a forthcoming paper.

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The categories of this paper are: hep-ph
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The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol