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We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(2n+1)$ for each $n$. The dual theory is constructed through the diagonal gauging of…

High Energy Physics - Theory · Physics 2023-06-13 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

We study operators with large internal charge in boundary conformal field theories (BCFTs) with internal symmetries. Using the state-operator correspondence and the existence of a macroscopic limit, we find a non-trivial relation between…

High Energy Physics - Theory · Physics 2021-11-03 Gabriel Cuomo , Márk Mezei , Avia Raviv-Moshe

We demonstrate by explicit multi-loop calculation that \gamma-deformed planar N=4 SYM, supplemented with a set of double-trace counter-terms, has two nontrivial fixed points in the recently proposed double scaling limit, combining vanishing…

High Energy Physics - Theory · Physics 2018-03-21 David Grabner , Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is…

High Energy Physics - Theory · Physics 2019-03-22 Chi-Ming Chang , David M. Ramirez , Mukund Rangamani

We propose an effective conformal field theory (CFT) description of steady state incompressible fluid turbulence at the inertial range of scales in any number of spatial dimensions. We derive a KPZ-type equation for the anomalous scaling of…

High Energy Physics - Theory · Physics 2019-01-01 Yaron Oz

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature. Some of these properties may…

High Energy Physics - Theory · Physics 2021-09-15 Petr Kravchuk , Jiaxin Qiao , Slava Rychkov

Non-relativistic conformal field theory describes many-body physics at unitarity. The correlation functions of the system are fixed by the requirement of conformal invariance. In this article, we discuss the correlation functions of scalar…

High Energy Physics - Theory · Physics 2024-09-02 Rajesh Kumar Gupta , Meenu

In Ref.~\cite{Guo:2024zal} and associated studies, a relativistic finite-volume formalism in $1+1$ dimensions is proposed to extract infinite-volume scattering phaseshift. It is based on the difference of integrated correlation functions…

High Energy Physics - Lattice · Physics 2025-10-28 Peng Guo , Frank X. Lee , Andrei Alexandru

We investigate exactly solvable two-dimensional conformal field theories that exist at generic values of the central charge, and that interpolate between A-series or D-series minimal models. When the central charge becomes rational,…

High Energy Physics - Theory · Physics 2019-06-26 Sylvain Ribault

In this paper we provide an alternative method to compute correlation functions in the in-in formalism, with a modified set of Feynman rules to compute loop corrections. The diagrammatic expansion is based on an iterative solution of the…

High Energy Physics - Theory · Physics 2014-01-17 Marcello Musso

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in…

High Energy Physics - Theory · Physics 2022-09-07 T. Heckelbacher , I. Sachs , E. Skvortsov , P. Vanhove

The computation of the emitted radiation by an accelerated external particle can be addressed in a gauge theory with the insertion of a Wilson loop. With the addition of conformal symmetry this problem is consistently formalized in terms of…

High Energy Physics - Theory · Physics 2021-12-08 Francesco Galvagno

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric…

High Energy Physics - Theory · Physics 2009-11-07 Marcus Berg , Henning Samtleben

We introduce a set of correlations between energy flow and event shapes that are sensitive to the flow of color at short distances in jet events. These correlations are formulated for a general set of event shapes, which includes jet…

High Energy Physics - Phenomenology · Physics 2014-11-17 Carola F. Berger , Tibor Kucs , George Sterman

We consider an ionic fluid made with two species of mobile particles carrying either a positive or a negative charge. We derive a sum rule for the fourth moment of equilibrium charge correlations. Our method relies on the study of the…

Statistical Mechanics · Physics 2016-11-30 Angel Alastuey , Riccardo Fantoni

We provide an exact microscopic statistical treatment of particle and field correlations in a system of quantum charges in equilibrium with a classical radiation field. Using the Feynman-Kac-Ito representation of the Gibbs weight, the…

Statistical Mechanics · Physics 2009-11-11 Sami El Boustani , Pascal R. Buenzli , Philippe A. Martin

This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics. We review the following algebraic structures which appear in two-dimensional conformal field theory (CFT): The symmetries of two-dimensional…

Quantum Algebra · Mathematics 2024-12-05 Jürgen Fuchs , Christoph Schweigert , Simon Wood , Yang Yang

We study conformal field theories (CFTs) and their classifications from a modern perspective based on the abstract algebraic formalism of symmetries or conserved charges, known as symmetry topological field theories (SymTFTs). By studying…

High Energy Physics - Theory · Physics 2026-04-10 Yoshiki Fukusumi , Taishi Kawamoto

We study a statistical model defined by a conformally invariant distribution of overlapping spheres in arbitrary dimension d. The model arises as the asymptotic distribution of cosmic bubbles in d+1 dimensional de Sitter space, and also as…

High Energy Physics - Theory · Physics 2009-12-15 Ben Freivogel , Matthew Kleban
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