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We consider light scattering by an anisotropic defect layer embedded into anisotropic photonic crystal in the spectral vicinity of an optical bound state in the continuum (BIC). Using a resonant state expansion method we derive an analytic…

We developed a conformal map technique to analyze the attenuation of edge modes propagating along imperfect boundaries. In systems where the potential energy exhibits conformal invariance, the conformal transformation can straighten the…

Strongly Correlated Electrons · Physics 2024-12-12 Grigor Adamyan

A class of two-dimensional topological conformal field theories (TCFTs) is studied within the framework of gauged WZW models in order to gain some insights on the global geometrical nature of TCFTs. The BRST quantizations of topological G/H…

High Energy Physics - Theory · Physics 2009-10-22 Toshio Nakatsu , Yuji Sugawara

We present a new framework for studying conformal field theories deformed by one or more relevant operators. The original CFT is described in infinite volume using a basis of states with definite momentum, $P$, and conformal Casimir,…

High Energy Physics - Theory · Physics 2016-08-31 Emanuel Katz , Zuhair U. Khandker , Matthew T. Walters

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how…

High Energy Physics - Theory · Physics 2022-07-06 Kenta Suzuki , Tadashi Takayanagi

We provide a pedagogical review of the main ideas and results in non-equilibrium conformal field theory and connected subjects. These concern the understanding of quantum transport and its statistics at and near critical points. Starting…

Statistical Mechanics · Physics 2016-12-20 Denis Bernard , Benjamin Doyon

We present a new method to identify the Boundary Conformal Field Theories (BCFTs) describing the critical points of the Ising model on the strip. It consists in measuring the low-lying excitation energies spectra of its quantum spin chain…

Statistical Mechanics · Physics 2013-02-05 Smain Balaska , Nahed Sihem Bounoua

We present a teleportation protocol based upon the entanglement produced from Fock states incident onto a beam splitter of arbitrary transmissivity. The teleportation fidelity is analysed, its trends being explained from consideration of a…

Quantum Physics · Physics 2009-11-07 P. T. Cochrane , G. J. Milburn

The time evolution of entanglement entropy in generic chaotic many-body systems has an effective description in terms of a minimal membrane, characterised by a tension function. For 2d CFTs, a degenerate tension function reproduces several…

High Energy Physics - Theory · Physics 2024-11-26 Hanzhi Jiang , Márk Mezei , Julio Virrueta

Transfer entropy (TE) is an information theoretic measure that reveals the directional flow of information between processes, providing valuable insights for a wide range of real-world applications. This work proposes Transfer Entropy…

Information Theory · Computer Science 2025-07-22 Omer Luxembourg , Dor Tsur , Haim Permuter

We discuss conformal manifolds for conformal field theories with boundaries or defects. Using conformal perturbation theory we derive constraints on coefficients appearing in the boundary operator product expansion and three-point functions…

High Energy Physics - Theory · Physics 2018-08-15 Andreas Karch , Yoshiki Sato

When using an electron microscope for imaging of particles embedded in vitreous ice, the objective lens will inevitably corrupt the projection images. This corruption manifests as a band-pass filter on the micrograph. In addition, it causes…

Image and Video Processing · Electrical Eng. & Systems 2020-01-29 Ayelet Heimowitz , Joakim Andén , Amit Singer

A minimal single-brane holographic model can be used as a dual to 2d conformal interfaces (ICFTs) to calculate the transmission coefficient $\mathcal{T}$ of energy transported across the defect as well as boundary entropy $\log g$, the…

High Energy Physics - Theory · Physics 2023-03-03 Saba Asif Baig , Andreas Karch

We study the effect of boundary deformations on the von Neumann entropy of subregions in two-dimensional boundary conformal field theories (BCFTs) at zero and finite temperature. The deformations considered are infinitesimal global…

High Energy Physics - Theory · Physics 2026-04-21 Dominik Neuenfeld , Christopher Tellinger

In the present work we propose a theory for obtaining successively better approximations to the linear response functions of time-dependent density or current-density functional theory. The new technique is based on the variational approach…

Statistical Mechanics · Physics 2007-05-23 Ulf von Barth , Nils Erik Dahlen , Robert van Leeuwen , Gianluca Stefanucci

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

We find the form of three-point correlation functions of traceless symmetric conserved currents of arbitrary spin in d-dimensional conformal field theory (CFT). These are fixed up to several constants by conformal symmetry and current…

High Energy Physics - Theory · Physics 2012-07-19 Alexander Zhiboedov

The reflection and transmission of wave functions at a potential step is a well-known issue in a textbook of quantum mechanics. We studied the reflection and transmission characteristics analytically when the potential step is moving at a…

Quantum Physics · Physics 2007-05-23 Toshiharu Samura , Masato Ohmukai

In this paper we examine boundary effects in a fractional chemotactic equation derived from a kinetic transport model describing cell movement in response to chemical gradients (chemotaxis). Specifically, we analyze reflecting boundary…

Analysis of PDEs · Mathematics 2025-06-05 Gissell Estrada-Rodriguez , Heiko Gimperlein

Constructing valid and informative conformal prediction regions for multi-dimensional outputs remains a fundamental challenge. While conformal prediction provides finite-sample, distribution-free coverage guarantees, its practical…

Machine Learning · Statistics 2026-05-11 Zhenhan Fang , Aixin Tan , Jian Huang
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