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

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.

17 pages, 3 figures, minor typos corrected

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on SUSY Gauge Theories on Three-Sphere
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Perturbing gauge/gravity duals by a Romans mass
• Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes

Cited by in corpus (2)

• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• The large-N partition function for non-parity-invariant Chern-Simons-matter theories