Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit   We study the $S^3$ partition function of three-dimensional supersymmetric
$\mathcal{N}=4$ U($N$) SQCD with massive matter multiplets in the infinite mass
limit with the so-called Coulomb branch localization. We show that in the
infinite mass limit a specific point of the Coulomb branch is selected and
contributes dominantly to the partition function. Therefore, we can argue
whether each multiplet included in the theory is effectively massless in this
limit, even on $S^3$, and conclude that the partition function becomes that of
the effective theory on the specific point of the Coulomb branch in the
infinite mass limit. In order to investigate which point of the Coulomb branch
is dominant, we use the saddle point approximation in the large $N$ limit
because the solution of the saddle point equation can be regarded as a specific
point of the Coulomb branch. Then, we calculate the partition functions for
small rank $N$ and confirm that their behaviors in the infinite mass limit are
consistent with the conjecture from the results in the large $N$ limit. Our
result suggests that the partition function in the infinite mass limit
corresponds to that of an interacting superconformal field theory.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph