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Subleading corrections to the free energy in a theory with N^(5/3) scaling

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arxiv 1912.04722 v2 pith:B7VU56PX submitted 2019-12-10 hep-th

Subleading corrections to the free energy in a theory with $N^{5/3}$ scaling

classification hep-th
keywords theoryenergyfreelevelscalingtermadjointbehavior
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abstract

We numerically investigate the sphere partition function of a Chern-Simons-matter theory with $SU(N)$ gauge group at level $k$ coupled to three adjoint chiral multiplets that is dual to massive IIA theory. Beyond the leading order $N^{5/3}$ behavior of the free energy, we find numerical evidence for a term of the form $(2/9)\log N-(1/18)\log k$. We conjecture that the $(2/9)\log N$ term may be universal in theories with $N^{5/3}$ scaling in the large-$N$ limit with the Chern-Simons level $k$ held fixed.

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