Disorder Averaging and its UV (Dis)Contents

Heckman, Jonathan J.; Turner, Andrew P.; Yu, Xingyang

doi:10.48550/arxiv.2111.06404

Cited by 5 publications

(6 citation statements)

References 80 publications

(128 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A similar mechanism was found in a toy model for the SYK model in [124]. We also note the work [130] with a different point of view on stringy realizations of ensemble averaging.…”

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

confidence: 75%

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

Collier,

Perlmutter

2022

Preprint

View full text Add to dashboard Cite

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.

show abstract

“…A similar mechanism was found in a toy model for the SYK model in [124]. We also note the work [130] with a different point of view on stringy realizations of ensemble averaging.…”

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

confidence: 75%

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

Collier,

Perlmutter

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Of course it is a very special kind of subgroup, since it sits inside a P SL(2, R) subgroup of the full isometry group. 16 We can think of the full geometry as obtained by starting with the boundary at θ = −π/2 and rotating about the y = 0 axis until we reach the other boundary at θ = +π/2. Just as above, our wormhole can be thought of as a fundamental domain in H 3 with its sides identified by the action of Γ.…”

Section: Quotient Constructionmentioning

confidence: 99%

“…There are various proposals (e.g. [3,4,[8][9][10][11][12][13][14][15][16][17][18]), but so far there is no general answer to this question.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical 3D gravity as an average of large-c CFTs

Chandra¹,

Collier²,

Hartman³

et al. 2022

Preprint

View full text Add to dashboard Cite

A two-dimensional CFT dual to a semiclassical theory of gravity in three dimensions must have a large central charge c and a sparse low energy spectrum. This constrains the OPE coefficients and density of states of the CFT via the conformal bootstrap. We define an ensemble of CFT data by averaging over OPE coefficients subject to these bootstrap constraints, and show that calculations in this ensemble reproduce semiclassical 3D gravity. We analyze a wide variety of gravitational solutions, both in pure Einstein gravity and gravity coupled to massive point particles, including Euclidean wormholes with multiple boundaries and higher topology spacetimes with a single boundary. In all cases we find that the on-shell action of gravity agrees with the ensemble-averaged CFT at large c. The one-loop corrections also match in the cases where they have been computed. We also show that the bulk effective theory has random couplings induced by wormholes, providing a controlled, semiclassical realization of the mechanism of Coleman, Giddings, and Strominger.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Disorder Averaging and its UV (Dis)Contents

Cited by 5 publications

References 80 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

Semiclassical 3D gravity as an average of large-c CFTs

Page curve from dynamical branes in JT gravity

Contact Info

Product

Resources

About