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Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systems. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities.…

High Energy Physics - Theory · Physics 2009-08-12 Christopher P. Herzog

An outstanding question lying at the core of the AdS/CFT correspondence in string theory is the holographic prescription problem for Einstein metrics, which asserts that one can slightly perturb the conformal geometry at infinity of the…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Alberto Enciso , Niky Kamran

We investigate the bulk reconstruction of AdS black hole spacetime emergent from quantum entanglement within a machine learning framework. Utilizing neural ordinary differential equations alongside Monte-Carlo integration, we develop a…

High Energy Physics - Theory · Physics 2025-01-09 Byoungjoon Ahn , Hyun-Sik Jeong , Keun-Young Kim , Kwan Yun

As a toy model to search for Hamiltonian formalism of the $AdS/CFT$ correspondence, we examine a Hamiltonian formulation of the $AdS_2/CFT_1$ correspondence emphasizing unitary representation theory of the symmetry. In the course of a…

High Energy Physics - Theory · Physics 2009-10-31 Toshio Nakatsu , Naoto Yokoi

We study the effects of a generalized uncertainty principle on the classical and quantum cosmology of a closed Friedmann Universe whose matter content is either a dust or a radiation fluid. More concretely, assuming the existence of a…

General Relativity and Quantum Cosmology · Physics 2015-02-26 S. Jalalzadeh , S. M. M. Rasouli , P. V. Moniz

One of the key issues in holography is going beyond $\mathrm{AdS}$ and defining quantum gravity in spacetimes with a null boundary. Recent examples of this type involve linear dilaton asymptotics and are related to the $T \overline{T}$…

High Energy Physics - Theory · Physics 2025-07-01 Christian Ferko , Savdeep Sethi

In this note, we explain how asymptotically globally AdS spacetimes can be given an alternate dual description as entangled states of a pair of hyperbolic space CFTs, which are associated with complementary Rindler wedges of the AdS…

High Energy Physics - Theory · Physics 2015-06-05 Bartlomiej Czech , Joanna L. Karczmarek , Fernando Nogueira , Mark Van Raamsdonk

In this article we apply the holographic principle for describing in a unifying way the early and the late-time universe, when the general equation of state contains a bulk viscosity. We use the idea of a generalized cut-off holographic…

General Relativity and Quantum Cosmology · Physics 2022-06-24 I. Brevik , A. V. Timoshkin

Based on the AdS/CFT correspondence, we studied the holographic Einstein images of a Gauss-Bonnet AdS black hole in the bulk from a given response function on AdS boundary. For the absolute amplitude of total response function, it shows…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Xiao-Xiong Zeng , Ke-Jian He , Jin Pu , Guo-ping Li

Holographic CFTs admit a dual emergent description in terms of semiclassical general relativity minimally coupled to matter fields. While the gravitational interactions are required to be suppressed by the Planck scale, the matter sector is…

High Energy Physics - Theory · Physics 2025-12-03 Luis Apolo , Alexandre Belin , Suzanne Bintanja

The entanglement wedge reconstruction paradigm in AdS/CFT states that for a bulk qudit within the entanglement wedge of a boundary subregion $\bar{A}$, operators acting on the bulk qudit can be reconstructed as CFT operators on $\bar{A}$.…

High Energy Physics - Theory · Physics 2024-08-16 Onkar Parrikar , Harshit Rajgadia , Vivek Singh , Jonathan Sorce

We consider the computation of volumes contained in a spatial slice of AdS$_3$ in terms of observables in a dual CFT. Our main tool is kinematic space, defined either from the bulk perspective as the space of oriented bulk geodesics, or…

High Energy Physics - Theory · Physics 2019-01-30 Raimond Abt , Johanna Erdmenger , Marius Gerbershagen , Charles M. Melby-Thompson , Christian Northe

The Celestial Holography program encompasses recent efforts to understand the flat space hologram in terms of a CFT living on the celestial sphere. A key development instigating these efforts came from understanding how soft limits of…

High Energy Physics - Theory · Physics 2023-11-07 Sabrina Pasterski

By utilizing the AdS/CFT correspondence, we investigate the holographic image of an AdS black hole in Einstein-power-Yang-Mills gravity. The AdS boundary hosts a Gaussian oscillation source, which induces a lensed response on the opposite…

High Energy Physics - Theory · Physics 2025-02-20 Xin-Yun Hu , Ke-Jian He , Xiao-Xiong Zeng

In a complex manifold, one can bridge anti-de Sitter and de Sitter spacetimes via analytic continuation, preserving geometric invariants and regularity, avoiding singularities during the AdS-dS transition. It unifies gravitational and gauge…

General Relativity and Quantum Cosmology · Physics 2026-01-12 J. W. Moffat , E. J. Thompson

We show by means of the AdS/CFT correspondence in the context of quantum gravity how inter-representational relations - loosely speaking relations among different equivalent representations of one and the same physics - can play out as a…

History and Philosophy of Physics · Physics 2020-08-25 Rasmus Jaksland , Niels S. Linnemann

We consider a free complex massive scalar on the quotient spacetime AdS$_3/\mathbb{Z}$, which has the isometry group SO(2,2) rather than its universal cover. This problem is of interest as a special example of QFT on a spacetime with closed…

High Energy Physics - Theory · Physics 2025-10-20 Walker Melton , Andrew Strominger , Tianli Wang

In the context of the AdS/CFT correspondence, we study bulk reconstruction of the Poincare wedge of AdS$_3$ via hole-ography, i.e., in terms of differential entropy of the dual CFT$_2$. Previous work had considered the reconstruction of…

High Energy Physics - Theory · Physics 2018-02-09 Ricardo Espíndola , Alberto Guijosa , Alberto Landetta , Juan F. Pedraza

We outline a holographic recipe to reconstruct $\alpha'$ corrections to AdS (quantum) gravity from an underlying CFT in the strictly planar limit ($N\rightarrow\infty$). Assuming that the boundary CFT can be solved in principle to all…

High Energy Physics - Theory · Physics 2017-11-01 Shubho R. Roy , Debajyoti Sarkar

The AdS/CFT correspondence relates certain strongly coupled CFTs with large effective central charge $c_\text{eff}$ to semi-classical gravitational theories with AdS asymptotics. We describe recent progress in understanding gravity duals…

High Energy Physics - Theory · Physics 2014-03-05 Donald Marolf , Mukund Rangamani , Toby Wiseman