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Related papers: A Conformal Collider for Holographic CFTs

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We present the foundation for a holographic dictionary with depth perception. The dictionary consists of natural CFT operators whose duals are simple, diffeomorphism-invariant bulk operators. The CFT operators of interest are the "OPE…

High Energy Physics - Theory · Physics 2016-09-29 Bartlomiej Czech , Lampros Lamprou , Samuel McCandlish , Benjamin Mosk , James Sully

Motivated by applications to the study of ultracold atomic gases near the unitarity limit, we investigate the structure of the operator product expansion (OPE) in non-relativistic conformal field theories (NRCFTs). The main tool used in our…

High Energy Physics - Theory · Physics 2016-04-20 Walter D. Goldberger , Zuhair U. Khandker , Siddharth Prabhu

We discuss universal properties of conformal field theories with holographic duals. A central feature of these theories is the existence of a low-lying sector of operators whose correlators factorize. We demonstrate that factorization can…

High Energy Physics - Theory · Physics 2015-03-17 Sheer El-Showk , Kyriakos Papadodimas

We compute three-point correlators between the stress-energy tensor and conserved currents of conformal field theories (CFTs) in 2+1 dimensions. We first compute the correlators in the large-flavor-number expansion of conformal gauge…

Strongly Correlated Electrons · Physics 2014-10-06 Debanjan Chowdhury , Suvrat Raju , Subir Sachdev , Ajay Singh , Philipp Strack

We calculate holographically three-point functions of scalar operators with large dimensions at finite density and finite temperature. To achieve this, we construct new solutions that involve two isometries of the deformed internal space.…

High Energy Physics - Theory · Physics 2023-09-15 George Georgiou , Dimitrios Zoakos

Unitary conformal field theories (CFTs) are believed to have positive (non-negative) energy correlators. Energy correlators are universal observables in higher-dimensional CFTs built out of integrated Wightman functions of the stress-energy…

High Energy Physics - Theory · Physics 2015-06-15 Alexander Zhiboedov

We use holography to study the large spin $J$ limit of the spectrum of low energy states with charge $Q$ under a $U(1)$ conserved current in CFTs in $d>2$ dimensions, with a focus on $d=3$ and $d=4$. For $Q=2$, the spectrum of such states…

High Energy Physics - Theory · Physics 2024-03-13 Giulia Fardelli , A. Liam Fitzpatrick , Wei Li

In this paper we compute the holographic two-point functions of four dimensional conformal gravity. Precisely we calculate the two-point functions for Energy- Momentum (EM) and Partially Massless Response (PMR) operators that have been…

High Energy Physics - Theory · Physics 2015-01-28 Ahmad Ghodsi , Behnoush Khavari , Ali Naseh

Given a critical quantum spin chain described by a conformal field theory (CFT) at long distances, it is crucial to understand the universal conformal data. One most important ingredient is the operator product expansion (OPE) coefficients,…

Strongly Correlated Electrons · Physics 2023-04-26 Yuhan Liu , Yijian Zou , Shinsei Ryu

We discuss dynamical response functions near quantum critical points, allowing for both a finite temperature and detuning by a relevant operator. When the quantum critical point is described by a conformal field theory (CFT), conformal…

High Energy Physics - Theory · Physics 2017-08-03 Andrew Lucas , Todd Sierens , William Witczak-Krempa

We study the map between two descriptions of the $T\bar{T}$ deformation of conformal field theory (CFT): One is the defining description as a deformation of CFT by the $T\bar{T}$-operator. The other is an alternative description as the…

High Energy Physics - Theory · Physics 2024-02-14 Shinji Hirano , Masaki Shigemori

Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge $C_T$, we clarify the properties of stress tensor composite primary operators of minimal twist, $[T^m]$,…

High Energy Physics - Theory · Physics 2020-12-02 A. Liam Fitzpatrick , Kuo-Wei Huang , David Meltzer , Eric Perlmutter , David Simmons-Duffin

We calculate, for the first time, three-point correlation functions involving "heavy" operators in the Schrodinger/null-dipole CFT correspondence at strong coupling. In particular, we focus on the three-point functions of the dilaton modes…

High Energy Physics - Theory · Physics 2018-09-26 George Georgiou , Dimitrios Zoakos

Using conformal field theoretic methods we calculate correlation functions of geometric observables in the loop representation of the O(n) model at the critical point. We focus on correlation functions containing twist operators, combining…

Mathematical Physics · Physics 2009-06-10 Jacob J. H. Simmons , John Cardy

The four point function of Conformal Field Theories (CFT's) with global symmetry gives rise to multiple crossing symmetry constraints. We explicitly study the correlator of four scalar operators transforming in the fundamental…

High Energy Physics - Theory · Physics 2015-05-28 Alessandro Vichi

We consider the Carrollian limit of OPE blocks of scalar primaries, spin-1 currents and the stress tensor in 3-dimensional conformal field theory (CFT$_3$). We demonstrate that these OPE blocks decompose into OPE blocks of towers of…

High Energy Physics - Theory · Physics 2025-08-28 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

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

A holographic conformal field theory is dual to semi-classical general relativity in Anti-de Sitter space coupled to matter fields. If the CFT factorizes in the large-$N$ limit, then all couplings in its dual are suppressed by the Planck…

High Energy Physics - Theory · Physics 2023-09-11 Luis Apolo , Alexandre Belin , Suzanne Bintanja , Alejandra Castro , Christoph A. Keller

Conformal field theory (CFT) is the key to various critical phenomena. So far, most of studies focus on the critical exponents of various universalities, corresponding to conformal dimensions of CFT primary fields. However, other important…

Statistical Mechanics · Physics 2023-08-02 Liangdong Hu , Yin-Chen He , W. Zhu

In strongly coupled conformal field theories with a large central charge important light degrees of freedom are the stress tensor and its composites, multi-stress tensors. We consider the OPE expansion of two-point functions of the stress…

High Energy Physics - Theory · Physics 2022-10-31 Robin Karlsson , Andrei Parnachev , Valentina Prilepina , Samuel Valach