4.4 Article

Wormholes and spectral statistics in the Narain ensemble

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Physics, Particles & Fields

The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral

Henry Maxfield et al.

Summary: The proposal suggests including a new class of topologies in the path integral of three-dimensional pure gravity to address negative aspects in the spectrum, leading to a nonperturbative shift of the BTZ extremality bound. A two-dimensional calculation using dimensionally reduced theory can capture the primary effects in the near extremal limit, as demonstrated through a study of a related two-dimensional theory of Jackiw-Teitelboim gravity with dynamic defects, which is shown to be equivalent to a matrix integral.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Free partition functions and an averaged holographic duality

Nima Afkhami-Jeddi et al.

Summary: The study focuses on the torus partition functions of free bosonic CFTs in two dimensions, showing that integrating over Narain moduli defines an ensemble-averaged free CFT and the averaged partition function can be reinterpreted as a sum over topologies in three dimensions. This leads to the conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1)(c)xU(1)(c) symmetry and a composite boundary graviton. Additionally, general constraints on the spectral gap of free CFTs are obtained for small central charge c, Narain compactifications with a large gap are constructed, and an analytic bootstrap functional corresponding to a single self-dual boson is found using the spinning modular bootstrap.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Comments on the holographic description of Narain theories

Anatoly Dymarskya et al.

Summary: This study discusses the holographic description of Narain U(1)(c) x U(1)(c) conformal field theories, proposing a hypothesis that the density of states of any Narain theory in the large central charge limit is bounded by the density of states of U(1) gravity. Testing this proposal using chiral lattice CFTs and CFTs based on quantum stabilizer codes reveals new bounds on quantum stabilizer codes and the exponentially small density variance in the central charge limit.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Higher spin wormholes from modular bootstrap

Diptarka Das et al.

Summary: In this study, the connection between spacetime wormholes and ensemble averaging in higher spin AdS(3)/CFT2 is investigated. By evaluating the partition function of a Euclidean wormhole in AdS(3) higher spin gravity using modular bootstrap techniques and holographic inputs, it is found that the fixed spin sectors of the dual CFT2 exhibit features that go beyond conventional random matrix ensembles.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

AdS3 gravity and random CFT

Jordan Cotler et al.

Summary: In this study, we computed the path integral of three-dimensional gravity on spaces with a torus times an interval topology, revealing spectral correlations between BTZ black hole microstates near threshold and the spectral form factor at fixed momentum. Our findings indicate that the low-energy limit of these correlations aligns precisely with a double-scaled random matrix ensemble with Virasoro symmetry.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

Poincare series, 3d gravity and averages of rational CFT

Viraj Meruliya et al.

Summary: In this study, the Poincare series approach is used to compute 3d gravity partition functions dual to Rational CFT. The SU(2)(k) WZW models provide unitary examples for certain infinite sets of levels, supporting the interpretation of the bulk gravity theory as dual to an average of distinct CFT's. Different features are found in other WZW models, such as SU(N)(1) and SU(3)(k). Multiple genus-1 boundaries are considered, revealing a class of seed functions for the Poincare sum that accurately reproduces both disconnected and connected contributions.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Random statistics of OPE coefficients and Euclidean wormholes

Alexandre Belin et al.

Summary: The study proposes an ansatz for OPE coefficients in chaotic conformal field theories, generalizing the eigenstate thermalization hypothesis and describing heavy operators as random variables with a Gaussian distribution. By applying this ansatz in two dimensions, higher moments of OPE coefficients can be calculated and analyzed, while also relating them to genus-2 partition functions and their squares in the context of AdS(3) Einstein gravity solutions. The research suggests that calculations based on the semi-classical low-energy gravitational theory are primarily affected by the random nature of OPE coefficients, explaining the lack of factorization in partition function products.

CLASSICAL AND QUANTUM GRAVITY (2021)

Article Physics, Particles & Fields

Chern-Simons invariants from ensemble averages

Meer Ashwinkumar et al.

Summary: In this paper, we discuss ensemble averages of two-dimensional conformal field theories associated with an arbitrary indefinite lattice with integral quadratic form Q, and provide evidence that the holographic dual after the ensemble average is the three-dimensional Abelian Chern-Simons theory with kinetic term determined by Q. The resulting partition function can be written as a modular form expressed as a sum over the partition functions of Chern-Simons theories on lens spaces. For odd lattices, the dual bulk theory is a spin Chern-Simons theory, and several novel phenomena in this case are identified. The holographic duality prior to averaging is also discussed in terms of Maxwell-Chern-Simons theories.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Physics, Particles & Fields

AdS3 gravity and RCFT ensembles with multiple invariants

Viraj Meruliya et al.

Summary: In this study, the Poincare series method was used to compute gravity partition functions for SU(N)(1) WZW models with varying modular invariants. The results showed an average over these invariants, with weights determined by inverting a matrix, which was specially formulated for the chosen models. It was found that for the identity seed, the weights were consistently positive for all values of N, indicating a dual relationship between each model and an ensemble average over CFT's.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Gravitational constrained instantons

Jordan Cotler et al.

Summary: The study of constrained instantons in Einstein gravity provides insight into nonperturbative processes in quantum gravity and the effects of cosmological constant on spacetime configurations. These solutions, while not saddle points of the Einstein-Hilbert action, offer new perspectives on the contributions from fixed topology spacetimes.

PHYSICAL REVIEW D (2021)

Article Physics, Particles & Fields

Averaging over moduli in deformed WZW models

Junkai Dong et al.

Summary: In this study, WZW models living on a moduli space parameterized by current-current deformations were explored, revealing the ensemble of conformal field theories and their impact on conserved currents and central charge. The average partition function was calculated and interpreted as a sum over 3-manifolds, suggesting a holographic dual for the ensemble-averaged theory. At a perturbative level, the bulk theory was identified as U(1)(2N) Chern-Simons theory coupled to additional matter fields, with a key mathematical result being the Siegel-Weil formula for the characters of an affine Lie algebra.

JOURNAL OF HIGH ENERGY PHYSICS (2021)

Article Astronomy & Astrophysics

Free energy from replica wormholes

Netta Engelhardt et al.

Summary: The text discusses the challenge of Euclidean wormholes to the standard quantum mechanical interpretation and suggests that gravitational path integral computes the ensemble average of multiple theories. It highlights the contribution of connected topologies to the free energy and evidence of replica symmetry breaking in both JT gravity and a simplified version of CGHS. The insights about ensemble averaging in gravity from this perspective are also discussed.

PHYSICAL REVIEW D (2021)

Article Physics, Particles & Fields

Matrix ensembles with global symmetries and 't Hooft anomalies from 2d gauge theory

Daniel Kapec et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Universal dynamics of heavy operators in CFT2

Scott Collier et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Pure gravity and conical defects

Nathan Benjamin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions

Chao-Ming Jian et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Multidisciplinary

Exponential Ramp in the Quadratic Sachdev-Ye-Kitaev Model

Michael Winer et al.

PHYSICAL REVIEW LETTERS (2020)

Article Physics, Particles & Fields

On the spectrum of pure higher spin gravity

Luis F. Alday et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Rademacher expansions and the spectrum of 2d CFT

Luis F. Alday et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

AdS3 wormholes from a modular bootstrap

Jordan Cotler et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Gravitational dual of averaged free CFT's over the Narain lattice

Alfredo Perez et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Averaging over Narain moduli space

Alexander Maloney et al.

JOURNAL OF HIGH ENERGY PHYSICS (2020)

Article Physics, Particles & Fields

Fast conformal bootstrap and constraints on 3d gravity

Nima Afkhami-Jeddi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral

Massimo Porrati et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Quantum Regge trajectories and the Virasoro analytic bootstrap

Scott Collier et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity

Yuya Kusuki

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Sphere packing and quantum gravity

Thomas Hartman et al.

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Physics, Particles & Fields

Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap

Henry Maxfield

JOURNAL OF HIGH ENERGY PHYSICS (2019)

Article Astronomy & Astrophysics

Light-cone modular bootstrap and pure gravity

Nathan Benjamin et al.

PHYSICAL REVIEW D (2019)

Article Physics, Particles & Fields

A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled

Aurelio Romero-Bermudez et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Physics, Particles & Fields

Modular bootstrap revisited

Scott Collier et al.

JOURNAL OF HIGH ENERGY PHYSICS (2018)

Article Astronomy & Astrophysics

Probing thermality beyond the diagonal

Enrico M. Brehm et al.

PHYSICAL REVIEW D (2018)

Article Astronomy & Astrophysics

Universal asymptotics of three-point coefficients from elliptic representation of Virasoro blocks

Diptarka Das et al.

PHYSICAL REVIEW D (2018)

Article Physics, Particles & Fields

A cardy formula for three-point coefficients or how the black hole got its spots

Per Kraus et al.

JOURNAL OF HIGH ENERGY PHYSICS (2017)

Article Physics, Particles & Fields

Small black holes and near-extremal CFTs

Nathan Benjamin et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Physics, Particles & Fields

A bound on chaos

Juan Maldacena et al.

JOURNAL OF HIGH ENERGY PHYSICS (2016)

Article Physics, Multidisciplinary

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space

Juan Maldacena et al.

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS (2016)

Article Astronomy & Astrophysics

Remarks on the Sachdev-Ye-Kitaev model

Juan Maldacena et al.

PHYSICAL REVIEW D (2016)

Article Physics, Particles & Fields

Poincare series, 3D gravity and CFT spectroscopy

Christoph A. Keller et al.

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Article Physics, Particles & Fields

Models of AdS2 backreaction and holography

Ahmed Almheiri et al.

JOURNAL OF HIGH ENERGY PHYSICS (2015)

Article Physics, Particles & Fields

Black holes and the butterfly effect

Stephen H. Shenker et al.

JOURNAL OF HIGH ENERGY PHYSICS (2014)

Article Physics, Particles & Fields

Constraints on 2d CFT partition functions

Daniel Friedan et al.

JOURNAL OF HIGH ENERGY PHYSICS (2013)

Article Astronomy & Astrophysics

Gravity dual of the Ising model

Alejandra Castro et al.

PHYSICAL REVIEW D (2012)

Article Astronomy & Astrophysics

An AdS3 dual for minimal model CFTs

Matthias R. Gaberdiel et al.

PHYSICAL REVIEW D (2011)

Article Physics, Particles & Fields

A universal inequality for CFT and quantum gravity

Simeon Hellerman

JOURNAL OF HIGH ENERGY PHYSICS (2011)

Article Physics, Particles & Fields

Quantum gravity partition functions in three dimensions

Alexander Maloney et al.

JOURNAL OF HIGH ENERGY PHYSICS (2010)

Article Physics, Particles & Fields

On non-handlebody instantons in 3D gravity

Xi Yin

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Article Physics, Particles & Fields

One-loop partition functions of 3D gravity

Simone Giombi et al.

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Article Physics, Particles & Fields

Fast scramblers

Yasuhiro Sekino et al.

JOURNAL OF HIGH ENERGY PHYSICS (2008)

Review Physics, Particles & Fields

Precision counting of small black holes

A Dabholkar et al.

JOURNAL OF HIGH ENERGY PHYSICS (2005)

Article Physics, Multidisciplinary

Exact counting of supersymmetric black hole microstates

A Dabholkar

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Particles & Fields

A stringy cloak for a classical singularity

A Dabholkar et al.

JOURNAL OF HIGH ENERGY PHYSICS (2004)