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We consider perturbation defects obtained by perturbing a 2D conformal field theory (CFT) by a relevant operator on a half-plane. If the perturbed bulk theory flows to an infrared fixed point described by another CFT, the defect flows to a…

High Energy Physics - Theory · Physics 2014-07-25 Anatoly Konechny , Cornelius Schmidt-Colinet

Every conformal field theory (CFT) above two dimensions contains an infinite set of Regge trajectories of local operators which, at large spin, asymptote to "double-twist" composites with vanishing anomalous dimension. In two dimensions,…

High Energy Physics - Theory · Physics 2019-06-26 Scott Collier , Yan Gobeil , Henry Maxfield , Eric Perlmutter

We derive the fusion hierarchy of functional equations for critical A-D-E lattice models related to, the sl(2) unitary minimal models, the parafermionic models and the supersymmetric models of conformal field theory, and deduce the related…

High Energy Physics - Theory · Physics 2007-05-23 C. H. Otto Chui , Christian Mercat , Paul A. Pearce

A four-dimensional Abelian gauge field can be coupled to a 3d CFT with a $U(1)$ symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFT) parametrized by the gauge coupling…

High Energy Physics - Theory · Physics 2019-06-26 Lorenzo Di Pietro , Davide Gaiotto , Edoardo Lauria , Jingxiang Wu

We study the contribution to the entanglement entropy of (2+1)-dimensional conformal field theories coming from a sharp corner in the entangling surface. This contribution is encoded in a function $a(\theta)$ of the corner opening angle,…

High Energy Physics - Theory · Physics 2015-07-13 Pablo Bueno , Robert C. Myers , William Witczak-Krempa

In this work, we study the universal total and symmetry-resolved entanglement spectra for a single interval of some $2$d Fermionic CFTs using the Boundary Conformal Field theory (BCFT) approach. In this approach, the partition of Hilbert…

High Energy Physics - Theory · Physics 2024-09-27 Himanshu Gaur

We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual…

High Energy Physics - Theory · Physics 2021-11-23 Ben Craps , Surbhi Khetrapal , Charles Rabideau

In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that…

High Energy Physics - Theory · Physics 2021-03-31 James Sully , Mark Van Raamsdonk , David Wakeham

The novel concept of entanglement renormalization and its corresponding tensor network renormalization technique have been highly successful in developing a controlled real space renormalization group (RG) scheme. Numerically approximate…

Strongly Correlated Electrons · Physics 2025-03-06 Gong Cheng , Lin Chen , Zheng-Cheng Gu , Ling-Yan Hung

In previous work universal behavior was conjectured for the behavior of the logarithmic terms in the entanglement entropy of intervals in 1+1 dimensional interface conformal field theories (ICFTs). These putative universal terms were…

High Energy Physics - Theory · Physics 2023-07-12 Andreas Karch , Mianqi Wang

We prove that the probabilistic definition of the most general boundary three-point and bulk-boundary structure constants in Liouville conformal field theory (LCFT) agree respectively with the formula proposed by Ponsot-Techsner (2002) and…

Probability · Mathematics 2024-03-26 Morris Ang , Guillaume Remy , Xin Sun , Tunan Zhu

Warped conformal field theory (WCFT) is a two dimensional quantum field theory whose local symmetry algebra consists of a Virasoro algebra and a U(1) Kac-Moody algebra. In this paper, we study correlation functions for primary operators in…

High Energy Physics - Theory · Physics 2018-09-11 Wei Song , Jianfei Xu

Boundary conformal field theory (BCFT) and interface conformal field theory (ICFT) attract attention in the context of the information paradox problem. On this background, we develop the idea of the reflected entropy in BCFT/ICFT. We first…

High Energy Physics - Theory · Physics 2022-11-16 Yuya Kusuki

We classify and compute, by means of the six-dimensional embedding formalism in twistor space, all possible three-point functions in four dimensional conformal field theories involving bosonic or fermionic operators in irreducible…

High Energy Physics - Theory · Physics 2016-01-26 Emtinan Elkhidir , Denis Karateev , Marco Serone

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

Braided convolutional codes (BCCs) are a class of spatially coupled turbo-like codes (SC-TCs) with excellent belief propagation (BP) thresholds. In this paper, we analyze the performance of BCCs in the finite block-length regime. We derive…

Information Theory · Computer Science 2016-08-09 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

We propose a SymTFT interpretation of ensemble averaging in low-dimensional holography. The central operation is to keep fixed both the SymTFT and the physical boundary condition, while averaging over topological boundary conditions at the…

High Energy Physics - Theory · Physics 2026-05-08 Xingyang Yu

Calculations in Kohn-Sham density functional theory crucially rely on high-quality approximations for the exchange-correlation (xc) functional. Standard local and semi-local approximations fail to predict the ionization potential (IP) and…

Materials Science · Physics 2023-05-03 Sharon Lavie , Yuli Goshen , Eli Kraisler

The three-dimensional classical O($N$) model with a boundary has received renewed interest due to the discovery of the extraordinary-log boundary universality class for $2\leq N< N_c$. The critical value $N_c$ and the exponent of the…

High Energy Physics - Theory · Physics 2026-05-28 Runzhe Hu , Wenliang Li

We study the structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

High Energy Physics - Theory · Physics 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa