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- W3150831783 abstract "We investigate the $S^3$ free energy of $mathcal N=3$ Chern-Simons-matter quiver gauge theories with gauge group $U(N)^r~(rgeq2)$ where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-$N$ expansion. We take two different approaches to explore the sub-leading structures of the free energy. First we evaluate the matrix integral for the partition function in the 't~Hooft limit using a saddle point approximation. Second we use an ideal Fermi-gas model to compute the same partition function, but in the limit of fixed Chern-Simons levels. The resulting expressions for the free energy $F=-log Z$ are consistent with each other at the leading and first sub-leading order. The Fermi-gas approach also hints at a universal $frac{1}{6}log N$ correction to the free energy. Since the quiver gauge theories we consider are dual to massive Type IIA theory, we expect our results to match sub-leading corrections to the holographic dual free energy, which have not yet been fully investigated." @default.
- W3150831783 created "2021-04-13" @default.
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- W3150831783 date "2021-03-31" @default.
- W3150831783 modified "2023-09-23" @default.
- W3150831783 title "Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA" @default.
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