Gravity factorized

Blommaert, Andreas; Iliesiu, Luca V.; Kruthoff, Jorrit

doi:10.48550/arxiv.2111.07863

Cited by 21 publications

(68 citation statements)

References 85 publications

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“…To explain further, we find it instructive to refer to other works on this topic in two bulk dimensions [29,[122][123][124][125][126]. A common thread in these works is the identification of additional saddles in the gravitational path integral that are responsible for factorization.…”

Section: Wormholes In Moduli Space and Emergent Averaged Holographic ...mentioning

confidence: 98%

Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings

Collier,

Perlmutter

2022

Preprint

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We develop a new approach to extracting the physical consequences of S-duality of four-dimensional N = 4 super Yang-Mills (SYM) and its string theory dual, based on SL(2, Z) spectral theory.We observe that CFT observables O, invariant under SL(2, Z) transformations of a complexified gauge coupling τ , admit a unique spectral decomposition into a basis of square-integrable functions. This formulation has direct implications for the analytic structure of N = 4 SYM data, both perturbatively and non-perturbatively in all parameters. These are especially constraining for the structure of instantons: k-instanton sectors are uniquely determined by the zero-and one-instanton sectors, and Borel summable series around k-instantons have convergence radii with simple k-dependence. In large N limits, we derive the existence and scaling of non-perturbative effects, in both N and the 't Hooft coupling, which we exhibit for certain N = 4 SYM observables. An elegant benchmark for these techniques is the integrated stress tensor multiplet four-point function, conjecturally determined by [1] for all τ for SU (N ) gauge group; we derive and elucidate its form, and explain how the SU (2) case is the simplest possible observable consistent with SL(2, Z)-invariant perturbation theory.These results have ramifications for holography. We explain how O , the ensemble average of O over the N = 4 supersymmetric conformal manifold with respect to the Zamolodchikov measure, is cleanly isolated by the spectral decomposition. We prove that the large N limit of O equals the large N , large 't Hooft coupling limit of O. Holographically speaking, O = Osugra, its value in type IIB supergravity on AdS5 × S 5 . This result, which extends to all orders in 1/N , embeds ensemble averaging into the traditional AdS/CFT paradigm. The statistics of the SL(2, Z) ensemble exhibit both perturbative and non-perturbative 1/N effects. We discuss further implications and generalizations to other AdS compactifications of string/M-theory.

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Section: Wormholes In Moduli Space and Emergent Averaged Holographic ...mentioning

confidence: 98%

Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings

Collier,

Perlmutter

2022

Preprint

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“…(See e.g., discussion in refs. [13,14,38,40,41] and e.g., refs [24,25] for recent attempts to resolve the puzzle by making modifications to the matrix model. )…”

Section: Rethinking Random Matrix Modelsmentioning

confidence: 99%

“…In this sense, JT gravity can be understood as a particular combination of an infinite number of minimal models in this "KdV" basis. 25 Higher order terms in perturbation theory come from expanding the string equation in parameter /x where x is negative. This is the perturbative description of the corrections to the Fermi sea description of the right hand side has the constant 2 Γ 2 .…”

Section: Jt Gravitymentioning

confidence: 99%

“…In the next sections, this same equation will appear, but used in a different manner, to study JT supergravity, and then Γ non-zero will be essential. 25 Many things called minimal models, and t k , in the literature, together with and the basis of operators the t k couple to. Here, the minimal model controlled by t k simply yields a behaviour E k− 1 2 in the spectral density.…”

Section: Jt Gravitymentioning

confidence: 99%

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The Microstate Physics of JT Gravity and Supergravity

Johnson¹

2022

Preprint

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It is proposed that a complete understanding of two-dimensional gravity and its emergence in random matrix models requires fully embracing both Wigner (statistics) and 't Hooft (geometry). Using non-perturbative definitions of random matrix models that yield various JT gravity and JT supergravity models on surfaces of arbitrary topology, Fredholm determinants are used to extract precise information about the spectra of discrete microstates that underlie the physics. Smooth spacetime geometry emerges only when the gaps between microstates are negligible, and there are two complementary mechanisms that achieve this in matrix models. A core idea suggested by the computations is that in each case, the matrix models point to a single distinguished discrete spectrum that characterizes the holographic dual of the (super) gravity theory, living on the disc. Only asymptotically does it reduce to the effectively continuous (super) Schwarzian result. Several physical consequences of this are elucidated, including a reassessment of the factorization puzzle. It is entirely resolved if matrix models are recognized not as models of a single JT gravity theory but as describing an ensemble of JT deformations, each of whose holographic dual is a matrix. This would immediately explain why there is also no failure of factorization for traditional higher dimensional holographic duals. Several lessons that may pertain to quantum gravity on non-trivial topology in higher dimensions are noted, and a thorough introduction to the non-perturbative matrix model techniques used is included.

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“…The role of the ensemble average in the gravitational path integral is still not well-understood and there are many conceptual issues related to this problem, such as the factorization puzzle (see e.g. [45][46][47][48][49][50] and references therein). It is believed that the Rényi entropy is a self-averaging quantity [13].…”

Section: Discussionmentioning

confidence: 99%

Page curve from dynamical branes in JT gravity

Okuyama,

Sakai

2021

Preprint

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We study the Page curve of an evaporating black hole using a toy model given by Jackiw-Teitelboim gravity with Fateev-Zamolodchikov-Zamolodchikov-Teschner (FZZT) antibranes. We treat the anti-FZZT branes as dynamical objects, taking their back-reaction into account. We construct the entanglement entropy from the dual matrix model and study its behavior as a function of the 't Hooft coupling t proportional to the number of branes, which plays the role of time. By numerical computation we observe that the entropy first increases and then decreases as t grows, reproducing the well-known behavior of the Page curve of an evaporating black hole. The system finally exhibits a phase transition, which may be viewed as the end of the evaporation. We study the critical behavior of the entropy near the phase transition. We also make a conjecture about the late-time monotonically decreasing behavior of the entropy. We prove it in a certain limit as well as give an intuitive explanation by means of the dual matrix model.

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Gravity factorized

Cited by 21 publications

References 85 publications

Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings

Harnessing S-Duality in $\mathcal{N}=4$ SYM & Supergravity as $SL(2,\mathbb{Z})$-Averaged Strings

The Microstate Physics of JT Gravity and Supergravity

Page curve from dynamical branes in JT gravity

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