Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.
Large N superconformal indices for 3d holographic SCFTs
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We study a limit of the superconformal index of the ABJM theory on $S^1\times S^2$ in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the $1/N$ expansion. These results are facilitated by a judicious rewriting of the superconformal index which establishes a connection with the Bethe Ansatz Equations that control the topologically twisted index. Using the same technique we extend these results to the superconformal index of another holographic theory: 3d $\mathcal{N}=4$ SYM coupled to one adjoint and $N_f$ fundamental hypermultiplets. We discuss the implications of our results for holography and the physics of charged rotating black holes in AdS$_4$.
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hep-th 6representative citing papers
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
Vertices of fundamental domains for del Pezzo quantum curves with FI parameters are realized as factorized curves from 5-branes dressed by FI parameters, matching minuscule weights.
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
New framework for one-loop log divergences on AdS x S spaces recovers the 1/4 log N ABJM correction from 11d SUGRA in 4d language.
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.
citing papers explorer
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Holographic Tests of the $\mu$ Ensemble
Fixed-μ ensemble computations in 11d supergravity reproduce ABJM partition functions (squashed S³, SCI, TTI) as Airy functions via a Laplace transform whose measure is fixed by bulk zero-mode counting.
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Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
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Factorized Quantum Curves and Minuscule Vertices in 3D Duality Cascades with FI Parameters
Vertices of fundamental domains for del Pezzo quantum curves with FI parameters are realized as factorized curves from 5-branes dressed by FI parameters, matching minuscule weights.
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Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS$_4$ Black Holes
Multiple microscopic methods confirm universality of AdS4 black hole entropy for non-extremal cases at high temperatures and show Hawking radiation rate proportional to horizon area.
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One-loop divergences for KK theories on $\mathrm{AdS}\times S$ spaces; a reanalysis of $\mathrm{AdS}_4 \times S^7\,\big/$ ABJM precision holography
New framework for one-loop log divergences on AdS x S spaces recovers the 1/4 log N ABJM correction from 11d SUGRA in 4d language.
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A gravity interpretation for the complex Euclidean saddles of the ABJM index
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.