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By analyzing the non-perturbative RG flows that explicitly preserve given symmetries, we demonstrate that they can be expressed as quantum path integrals of the $\textit{SymTFT}$ in one higher dimension. When the symmetries involved include…

High Energy Physics - Theory · Physics 2025-03-18 Ning Bao , Ling-Yan Hung , Yikun Jiang , Zhihan Liu

We construct a unitary, modular-invariant torus partition function of a two-dimensional conformal field theory with a Virasoro primary spectral gap of $\Delta_* = \frac{c-1}{12}$ above the vacuum. The twist gap is identical, apart from two…

High Energy Physics - Theory · Physics 2023-08-04 Gabriele Di Ubaldo , Eric Perlmutter

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen

We investigate AdS3/CFT2 correspondence in three dimensional supergravity. We construct a current for general coordinate invariance and that for local supersymmetry via covariant approach. Hamiltonian and supercharge are well defined in…

High Energy Physics - Theory · Physics 2017-01-25 Yoshifumi Hyakutake

We systematically explore the construction of Nielsen's circuit complexity to a non-Lorentzian field theory keeping in mind its connection with flat holography. We consider a 2d boundary field theory dual to 3d asymptotically flat…

High Energy Physics - Theory · Physics 2023-07-18 Arpan Bhattacharyya , Poulami Nandi

We study four-dimensional quantum gravity with negative cosmological constant in the minisuperspace approximation and compute the partition function for the $S^3$ boundary geometry. In this approximation scheme the path integrals become…

High Energy Physics - Theory · Physics 2018-08-01 Pawel Caputa , Shinji Hirano

We consider a model of 3d quantum gravity defined by $n$ copies of a rational Virasoro TQFT with central charge $1/2$, summed over all 3d topologies. This theory is holographically dual to an ensemble of all 2d CFTs with central charge…

High Energy Physics - Theory · Physics 2026-05-14 Anatoly Dymarsky

We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS$_3$ quantum gravity. We present a 2d CFT trace formula, precisely analogous to the Gutzwiller trace formula for chaotic quantum systems, which originates…

High Energy Physics - Theory · Physics 2023-11-06 Gabriele Di Ubaldo , Eric Perlmutter

We show that the 3D charged Banados-Teitelboim-Zanelli (BTZ) black hole solution interpolates between two different 2D AdS spacetimes: a near-extremal, near-horizon AdS_2 geometry with constant dilaton and U(1) field and an asymptotic AdS_2…

High Energy Physics - Theory · Physics 2011-03-28 Mariano Cadoni , Mohammad R. Setare

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Shahar Hod

We push forward the investigation of holographic dualities in 3D quantum gravity formulated as a topological quantum field theory, studying the correspondence between boundary and bulk structures. Working with the Ponzano-Regge topological…

High Energy Physics - Theory · Physics 2020-03-18 Christophe Goeller , Etera R. Livine , Aldo Riello

In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

With a view to understanding extended-BMS symmetries in the framework of the $AdS_4/CFT_3$ correspondence, asymptotically AdS geometries are constructed with null impulsive shockwaves involving a discontinuity in superrotation parameters.…

High Energy Physics - Theory · Physics 2021-02-03 David A. Lowe , David M. Ramirez

We define a normalizable measure on the space of two-dimensional conformal field theories, which we interpret as a maximum ignorance ensemble. We test whether pure quantum gravity in AdS$_3$ is dual to the average over this ensemble. We…

High Energy Physics - Theory · Physics 2025-12-24 Alexandre Belin , Alexander Maloney , Florian Seefeld

We construct a new gravitational action which includes cubic curvature interactions and which provides a useful toy model for the holographic study of a three parameter family of four- and higher-dimensional CFT's. We also investigate the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert C. Myers , Brandon Robinson

The AdS/CFT conjecture offers the possibility of a quantum description for a black hole in terms of a CFT. This has led to the study of general AdS^3 type black holes with a view to constructing an explicit toy quantum black hole model.…

High Energy Physics - Theory · Physics 2014-11-20 Kumar S. Gupta , E. Harikumar , Siddhartha Sen , M. Sivakumar

We describe solutions of asymptotically AdS$_3$ Einstein gravity that are sourced by the insertion of operators in the boundary CFT$_2$, whose dimension scales with the central charge of the theory. Previously, we found that the geometry…

High Energy Physics - Theory · Physics 2023-07-26 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira

We derive a universal formula for the asymptotic growth of the mean value of three-point coefficient for Warped Conformal Field Theories (WCFTs), and provide a holographic calculation in BTZ black holes. WCFTs are two dimensional quantum…

High Energy Physics - Theory · Physics 2020-01-08 Wei Song , Jianfei Xu

We revisit the computation of the string partition function in AdS$_3$ focussing on the appearance of spacetime (super) symmetries. We show how the asymptotic symmetries of the AdS$_3$ spacetime, which generate the boundary (super) Virasoro…

High Energy Physics - Theory · Physics 2025-05-21 Christian Ferko , Sameer Murthy , Mukund Rangamani