Supersymmetric phases of AdS4/CFT3

Genolini, Pietro Benetti; Cabo-Bizet, Alejandro; Murthy, Sameer

doi:10.1007/jhep06(2023)125

Cited by 5 publications

(1 citation statement)

References 91 publications

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“…As argued in [25], it is tempting to define Z G b (M 3 ; −τ ) by identifying it with Z G b (−M 3 ; τ ). On the gravity side, while we do not yet have a complete catalogue of supergravity solutions, the solutions described recently [9] in the AdS 4 × S 7 context encouragingly take the form as geometries that might be matched with the different Rademacher contributions.…”

Section: Discussionmentioning

confidence: 90%

Quantum Modular $\widehat Z{}^G$-Invariants

Cheng,

Coman,

Passaro

et al. 2024

SIGMA

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We study the quantum modular properties of $\widehat Z{}^G$-invariants of closed three-manifolds. Higher depth quantum modular forms are expected to play a central role for general three-manifolds and gauge groups $G$. In particular, we conjecture that for plumbed three-manifolds whose plumbing graphs have $n$ junction nodes with definite signature and for rank $r$ gauge group $G$, that $\widehat Z{}^G$ is related to a quantum modular form of depth $nr$. We prove this for $G={\rm SU}(3)$ and for an infinite class of three-manifolds (weakly negative Seifert with three exceptional fibers). We also investigate the relation between the quantum modularity of $\widehat Z{}^G$-invariants of the same three-manifold with different gauge group $G$. We conjecture a recursive relation among the iterated Eichler integrals relevant for $\widehat Z{}^G$ with $G={\rm SU}(2)$ and ${\rm SU}(3)$, for negative Seifert manifolds with three exceptional fibers. This is reminiscent of the recursive structure among mock modular forms playing the role of Vafa-Witten invariants for ${\rm SU}(N)$. We prove the conjecture when the three-manifold is moreover an integral homological sphere.

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Section: Discussionmentioning

confidence: 90%

Quantum Modular $\widehat Z{}^G$-Invariants

Cheng,

Coman,

Passaro

et al. 2024

SIGMA

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Large black hole entropy from the giant brane expansion

Beccaria,

Cabo-Bizet

2024

J. High Energ. Phys.

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We show that the Bekenstein-Hawking entropy of large supersymmetric black holes in AdS5 × S5 emerges from remarkable cancellations in the giant graviton expansions recently proposed by Imamura, and Gaiotto and Lee, independently. A similar cancellation mechanism is shown to happen in the exact expansion in terms of free fermions recently put-forward by Murthy. These two representations can be understood as sums over independent systems of giant D3-branes and free fermions, respectively. At large charges, the free energy of each independent system localizes to its asymptotic expansion near the leading singularity. The sum over the independent systems maps their localized free energy to the localized free energy of the superconformal index of U(N) $$\mathcal{N}$$ = 4 SYM. This result constitutes a non-perturbative test of the giant graviton expansion valid at any value of N. Moreover, in the holographic scaling limit N → ∞ at fixed ratio $$\frac{{\text{Entropy}}}{{N}^{2}}$$, it recovers the 1/16 BPS black hole entropy by a saddle-point approximation of the giant graviton expansion.

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Large N partition functions of 3d holographic SCFTs

Bobev,

Hong,

Reys

2023

J. High Energ. Phys.

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We study the S1 × $$ {\Sigma}_{\mathfrak{g}} $$ Σ g topologically twisted index and the squashed sphere partition function of various 3d $$ \mathcal{N} $$ N ≥ 2 holographic superconformal field theories arising from M2-branes. Employing numerical techniques in combination with well-motivated conjectures we provide compact closed-form expressions valid to all orders in the perturbative 1/N expansion for these observables. We also discuss the holographic implications of our results for the topologically twisted index for the dual M-theory Euclidean path integral around asymptotically AdS4 solutions of 11d supergravity. In Lorentzian signature this leads to a prediction for the corrections to the Bekenstein-Hawking entropy of a class of static asymptotically AdS4 BPS black holes.

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Supersymmetric phases of AdS4/CFT3

Cited by 5 publications

References 91 publications

Quantum Modular $\widehat Z{}^G$-Invariants

Quantum Modular $\widehat Z{}^G$-Invariants

Large black hole entropy from the giant brane expansion

Large N partition functions of 3d holographic SCFTs

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