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For two-dimensional conformal field theories driven by evolving background space-time metrics in a closed universe, we present an operator formulation as a driven inhomogeneous CFT. The Hamiltonian of this theory is given by a background…

High Energy Physics - Theory · Physics 2025-10-27 Johanna Erdmenger , Jani Kastikainen , Tim Schuhmann

In anti-de Sitter (AdS) space, classical supergravity solutions are represented "holographically" by conformal field theory (CFT) states in which operators have expectation values. These 1-point functions are directly related to the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Simon F. Ross

We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable…

High Energy Physics - Theory · Physics 2020-03-18 Valentino F. Foit , Daniel Kabat , Gilad Lifschytz

We develop a first order formalism for constructing gravitational duals of conformal defects in a bottom up approach. Similarly as for the flat domain walls a single function specifies the solution completely. Using this formalism we…

High Energy Physics - Theory · Physics 2015-06-18 Yegor Korovin

We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our…

We study Kac operators (e.g. energy operator) in percolation and self-avoiding walk bulk CFTs with central charge $c=0$. The proper normalizations of these operators can be deduced at generic $c$ by requiring the finiteness and reality of…

High Energy Physics - Theory · Physics 2025-07-09 Yifei He

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 use holography to examine the response of interacting quantum fields to the appearance of closed timelike curves in a dynamically evolving background that initially does not contain them. For this purpose, we study a family of…

High Energy Physics - Theory · Physics 2022-04-05 Roberto Emparan , Marija Tomašević

This paper investigates the holographic realization of anyons in \(SU(N)_k\) Chern-Simons theory within the AdS/CFT framework. The study extends traditional models, such as \(SU(2)\), to higher-rank groups like \(SU(3)\) and \(SU(4)\),…

High Energy Physics - Theory · Physics 2025-05-23 Tzu-Miao Chou

We systematically study inhomogeneous Hamiltonians in two-dimensional conformal field theories within the framework of the AdS/CFT correspondence by relating them to two-dimensional curved backgrounds. We propose a classification of…

High Energy Physics - Theory · Physics 2025-03-12 Zhehan Li , Zhifeng Li , Jia Tian

We compute one-loop corrections to the OPE of gluons in the celestial conformal field theory corresponding to Yang-Mills coupled to arbitrary matter. We exploit universal hard/soft factorization to derive an IR finite OPE for the hard gluon…

High Energy Physics - Theory · Physics 2022-12-21 Rishabh Bhardwaj , Luke Lippstreu , Lecheng Ren , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

Euclidean field theories admit more general deformations than usually discussed in quantum field theories because of mixing between rotational symmetry and internal symmetry (a.k.a topological twist). Such deformations may be relevant, and…

High Energy Physics - Theory · Physics 2017-03-22 Yu Nakayama

We study the $TT$ OPE in $d>2$ CFTs whose bulk dual is Einstein gravity. Directly from the $TT$ OPE, we obtain, in a certain null-like limit, an algebraic structure consistent with the Jacobi identity: $[{\cal L}_m, {\cal L}_n]= (m-n) {\cal…

High Energy Physics - Theory · Physics 2021-06-16 Kuo-Wei Huang

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we…

High Energy Physics - Theory · Physics 2023-08-29 George Georgiou , Georgios Linardopoulos , Dimitrios Zoakos

We initiate the study of holographic correlators for operators whose dimension scales with the central charge of the CFT. Differently from light correlators or probes, the insertion of any such maximally heavy operator changes the AdS…

High Energy Physics - Theory · Physics 2023-06-28 Jacob Abajian , Francesco Aprile , Robert C. Myers , Pedro Vieira

Topological symmetry operators of holographic large $N$ CFT$_D$'s are dual to dynamical branes in the gravity dual AdS$_{D+1}$. We use this correspondence to establish a dictionary between thermal expectation values of symmetry operators in…

High Energy Physics - Theory · Physics 2025-10-09 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in $d=4$ conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a rescaled mode operator defined by an…

High Energy Physics - Theory · Physics 2022-09-07 Kuo-Wei Huang

We use the formalism of geodesic Witten diagrams to study the holographic realization of the conformal block expansion for entanglement entropy of two disjoint intervals. The agreement between the Ryu-Takayanagi formula and the identity…

High Energy Physics - Theory · Physics 2019-07-24 Andrea Prudenziati

We explore a novel interpretation of Symmetry Topological Field Theories (SymTFTs) as theories of gravity, proposing a holographic duality where the bulk SymTFT (with the gauging of a suitable Lagrangian algebra) is dual to the universal…

High Energy Physics - Theory · Physics 2024-12-10 Andrea Antinucci , Francesco Benini , Giovanni Rizi

We give a group-theoretic interpretation of relativistic holography as equivalence between representations of the anti de Sitter algebra describing bulk fields and boundary fields. Our main result is the explicit construction of the…

High Energy Physics - Theory · Physics 2016-07-22 N. Aizawa , V. K. Dobrev