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Precision Microstate Counting for the Entropy of Wrapped M5-branes

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arxiv 1905.01559 v1 pith:SBINJGWV submitted 2019-05-04 hep-th

Dongmin Gang , Nakwoo Kim , Leopoldo A. Pando Zayas This is my paper · ORCID
classification hep-th
keywords partitionfieldfunctionscorrectionsdualinvariantsorderperturbative
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the large $N$ expansion of twisted partition functions of 3d $\mathcal{N}=2$ superconformal field theories arising from $N$ M5-branes wrapped on a hyperbolic 3-manifold, $M_3$. Via the 3d-3d correspondence, the partition functions of these 3d ${\cal N}=2$ superconformal field theories are related to simple topological invariants on the 3-manifold. The partition functions can be expressed using only classical and one-loop perturbative invariants of $PSL(N,\mathbb{C})$ Chern-Simons theory around irreducible flat connections on $M_3$. Using mathematical results on the asymptotics of the invariants, we compute the twisted partition functions in the large $N$ limit including perturbative corrections to all orders in $1/N$. Surprisingly, the perturbative expansion terminates at finite order. The leading part of the partition function is of order $N^3$ and agrees with the Bekenstein-Hawking entropy of the dual black holes. The subleading part, in particular the $\log N$-terms in the field theory partition function is found to precisely match the one-loop quantum corrections in the dual eleven dimensional supergravity. The field theory results of other terms in $1/N$ provide a stringent prediction for higher order corrections in the holographic dual, which is M-theory.

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Cited by 5 Pith papers

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    hep-th 2019-09 conditional novelty 6.0 of 10

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    hep-th 2019-08 conditional novelty 6.0 of 10

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