Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transitions in 5D super Yang-Mills theory   In this paper we study a phase structure of $5D$ ${\cal N}=1$ super
Yang-Mills theory with massive matter multiplets and $SU(N)$ gauge group. In
particular, we are interested in two cases: theory with $N_f$ massive
hypermultiplets in the fundamental representation and theory with one adjoint
massive hypermultiplet. If these theories are considered on $S^5$ their
partition functions can be localized to matrix integrals, which can be
approximated by their values at saddle points in the large-$N$ limit. We solve
saddle point equations corresponding to the decompactification limit of both
theories. We find that in the case of the fundamental hypermultiplets theory
experiences third-order phase transition when coupling is varied. We also show
that in the case of one adjoint hypermultiplet theory experiences infinite
chain of third-order phase transitions, while interpolating between weak and
strong coupling regimes.

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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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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: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an