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Conformal field theories can exchange energy through a boundary interface. Imposing conformal boundary conditions for static interfaces implies energy conservation at the interface. Recently, the reflective and transmitive properties of…

High Energy Physics - Theory · Physics 2024-01-23 Parthajit Biswas , Suchetan Das , Anirban Dinda

Interface problems have long been a major focus of scientific computing, leading to the development of various numerical methods. Traditional mesh-based methods often employ time-consuming body-fitted meshes with standard discretization…

Numerical Analysis · Mathematics 2023-08-09 Xurong Chi , Jingrun Chen , Zhouwang Yang

Sliding at a quasi-statically loaded frictional interface can occur via macroscopic slip events, which nucleate locally before propagating as rupture fronts very similar to fracture. We introduce a novel microscopic model of a frictional…

Disordered Systems and Neural Networks · Physics 2019-12-23 Tom W. J. de Geus , Marko Popović , Wencheng Ji , Alberto Rosso , Matthieu Wyart

We consider two conformal defects close to each other in a free theory, and study what happens as the distance between them goes to zero. This limit is the same as zooming out, and the two defects have fused to another defect. As we zoom in…

High Energy Physics - Theory · Physics 2021-04-28 Alexander Söderberg

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

We calculate various CFT data for the $O(N)$ vector model with the long-range interaction, working at the next-to-leading order in the $1/N$ expansion. Our results provide additional evidence for the existence of conformal symmetry at the…

High Energy Physics - Theory · Physics 2021-10-07 Noam Chai , Mikhail Goykhman , Ritam Sinha

High scale conformal physics can lead to unusual unparticle stuff at our low energies. In this paper we discuss how the exchange of unparticles between Standard Model fields can lead to new contact interaction physics as well as a…

High Energy Physics - Phenomenology · Physics 2009-05-05 Thomas G. Rizzo

We introduce the concept of \textit{defect relative entropy} as a measure of distinguishability within the space of defects. We compute the defect relative entropy for conformal/topological defects, deriving a universal formula in conformal…

High Energy Physics - Theory · Physics 2026-01-30 Mostafa Ghasemi

Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization group (RG) flows. Here we study surface defects and their…

High Energy Physics - Theory · Physics 2021-12-08 Yifan Wang

We study the roughening of interfaces in phase-separated active suspensions on substrates. At both large length and timescales, we show that the interfacial dynamics belongs to the |q|KPZ universality class discussed in Besse et al. Phys.…

Soft Condensed Matter · Physics 2025-03-25 Fernando Caballero , Ananyo Maitra , Cesare Nardini

Inspired by continuum mechanical contact problems with geological fault networks, we consider elliptic second order differential equations with jump conditions on a sequence of multiscale networks of interfaces with a finite number of…

Analysis of PDEs · Mathematics 2019-09-30 Martin Heida , Ralf Kornhuber , Joscha Podlesny

The theory of interface localization in near-critical planar systems at phase coexistence is formulated from first principles. We show that mutual delocalization of two interfaces, amounting to interfacial wetting, occurs when the bulk…

Statistical Mechanics · Physics 2016-05-13 Gesualdo Delfino

We construct gravitational solutions that holographically describe two different $d=4$ SCFTs joined together at a co-dimension one, planar RG interface and preserving $d=3$ superconformal symmetry. The RG interface joins $\mathcal{N}=4$ SYM…

High Energy Physics - Theory · Physics 2020-12-30 Igal Arav , K. C. Matthew Cheung , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

We consider the large $N$ interacting vector $O(N)$ model on a sphere in $4-\epsilon$ Euclidean dimensions. The Gaussian theory in the UV is taken to be either conformally or non-conformally coupled. The endpoint of the RG flow corresponds…

High Energy Physics - Theory · Physics 2016-03-23 Chris Akers , Omer Ben-Ami , Vladimir Rosenhaus , Michael Smolkin , Shimon Yankielowicz

Perturbative quantum field theory in de Sitter space is known to give rise to a variety of contributions that diverge with time (secular terms). Despite significant progress, a complete understanding of the physical origin of these…

High Energy Physics - Theory · Physics 2020-05-20 Daniel Green , Akhil Premkumar

We present a dispersion relation for defect CFT that reconstructs two-point functions in the presence of a defect as an integral of a single discontinuity. The main virtue of this formula is that it streamlines explicit bootstrap…

High Energy Physics - Theory · Physics 2023-03-22 Julien Barrat , Aleix Gimenez-Grau , Pedro Liendo

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

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

Fluid Dynamics · Physics 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

Faceted interfaces are a key feature in self-resembling morphologies of many microstructures generated from solid state phase transformations. Interpretations, predictions and simulations of the faceted morphologies remain a challenge,…

Materials Science · Physics 2017-09-13 W. -Z. Zhang , X. -F. Gu , F. -Z. Dai

Two defect lines separated by a distance delta look from much larger distances like a single defect. In the critical theory, when all scales are large compared to the cutoff scale, this fusion of defect lines is universal. We calculate the…

Statistical Mechanics · Physics 2015-06-15 Costas Bachas , Ilka Brunner , Daniel Roggenkamp
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