Subleading Microstate Counting in the Dual to Massive Type IIA

Abstract

We study the topologically twisted index of a certain Chern-Simons matter theory with $SU(N)$ level $k$ gauge group on a genus $g$ Riemann surface times a circle. For this theory it is known that the logarithm of the topologically twisted index grows as $N^{5/3}$ and that it matches the Bekenstein-Hawking entropy of certain magnetically charged asymptotically $Ad{S}_4\times S^6$ black holes in massive type IIA supergravity. Through a combination of numerical and analytical techniques we study the subleading in $N$ structure. We demonstrate precise analytic cancellation of terms of orders $N\log N$ and $N^{1/3}\log N$ and show numerical cancellation for terms of order $N$. As a result, the first subleading correction is of order $N^{2/3}$. Furthermore, we provide evidence for the presence of a term of the form $(g-1)(7/18)\log N$ which constitutes a microscopic prediction for the one-loop contribution coming from the massless gravitational degrees of freedom in the massive IIA black hole.

arXiv comment30 pages, 5 tables, 1 figure; v2: References added, PRD version

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Cited by in corpus (4)

• Microscopic Entropy of Rotating Electrically Charged AdS${}_4$ Black Holes from Field Theory Localization
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• One-loop determinants for black holes in 4d gauged supergravity