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In this paper, we investigate Casimir effect, Weyl anomaly and displacement operator for boundary conformal field theory in general dimensions. We find universal relations between them. In particular, they are all determined by the central…

High Energy Physics - Theory · Physics 2019-07-29 Rong-Xin Miao

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

High Energy Physics - Theory · Physics 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

In this paper, we initiate our program to classify conformal fluid boundary conditions, by utilizing the fluid/gravity correspondence in the AdS/BCFT correspondence. The AdS/BCFT correspondence is a conjectured duality between a quantum…

High Energy Physics - Theory · Physics 2025-07-22 Tomohito Shiga , Kenta Suzuki

Thermal fluctuations of a critical system induce long-ranged Casimir forces between objects that couple to the underlying field. For two dimensional (2D) conformal field theories (CFT) we derive an exact result for the Casimir interaction…

Statistical Mechanics · Physics 2014-10-30 G. Bimonte , T. Emig , M. Kardar

We propose a novel approach to study conformal field theories (CFTs) in general dimensions. In the conformal bootstrap program, one usually searches for consistent CFT data that satisfy crossing symmetry. In the new approach, we reverse the…

High Energy Physics - Theory · Physics 2018-01-19 Wenliang Li

We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model…

Statistical Mechanics · Physics 2009-04-30 Shunsuke Furukawa , Vincent Pasquier , Jun'ichi Shiraishi

Applying the holographic method, we investigate correlation functions of boundary and defect conformal field theories. To describe boundary conformal field theory, we consider an end of the world brane in an asymptotic AdS space which…

High Energy Physics - Theory · Physics 2024-08-05 Chanyong Park

Systems as diverse as binary mixtures and inclusions in biological membranes, and many more, can be described effectively by interacting spins. When the critical fluctuations in these systems are constrained by boundary conditions, critical…

Statistical Mechanics · Physics 2019-01-23 Jerome Dubail , Raoul Santachiara , Thorsten Emig

We study different aspects of integrable boundary quantum field theories, focusing mostly on the ``boundary sine-Gordon model'' and its applications to condensed matter physics. The first part of the review deals with formal problems. We…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Skorik

In the current study, authors present the comprehensive analysis of the Anti-de Sitter/Boundary Conformal Field Theory (AdS/BCFT) correspondence for Lovelock theory of second order in the presence of canonical (and real) scalar field…

High Energy Physics - Theory · Physics 2022-06-10 Oleksii Sokoliuk , Fabiano F. Santos , Alexander Baransky

The theory of a massless two-dimensional scalar field with a periodic boundary interaction is considered. At a critical value of the period this system defines a conformal field theory and can be re-expressed in terms of free fermions,…

High Energy Physics - Theory · Physics 2009-10-09 J. Polchinski , L. Thorlacius

We review boundary rigidity theorems assessing that, under appropriate conditions, Riemannian manifolds with the same spectrum of boundary geodesics are isometric. We show how to apply these theorems to the problem of reconstructing a $d+1$…

High Energy Physics - Theory · Physics 2009-11-10 M. Porrati , R. Rabadan

We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this…

High Energy Physics - Theory · Physics 2024-03-29 Chen-Te Ma

We study the symmetry resolution of the entanglement entropy of an interval in two-dimensional conformal field theories (CFTs), by relating the bipartition to the geometry of an annulus with conformal boundary conditions. In the presence of…

High Energy Physics - Theory · Physics 2025-10-21 Giuseppe Di Giulio , René Meyer , Christian Northe , Henri Scheppach , Suting Zhao

The holographic mutual information for the small separation of two circles and two strips in 2+1 dimensional space-time is considered based on the known exact minimal surfaces spanning the boundaries on AdS4. The results suggest a…

High Energy Physics - Theory · Physics 2016-08-23 Cesar A. Agon , Howard J. Schnitzer

We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m'th unitary diagonal minimal model. For large m we can…

High Energy Physics - Theory · Physics 2022-03-24 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

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

Boundary conformal field theory (BCFT) provides a universal framework for critical phenomena in the presence of boundaries. We determine BCFT data for the normal and ordinary boundary universality classes of the $1+1$-dimensional boundaries…

Strongly Correlated Electrons · Physics 2026-04-24 Jiechao Feng , Taige Wang

We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic…

High Energy Physics - Theory · Physics 2009-10-22 P. Kleban , I. Vassileva

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of…

High Energy Physics - Theory · Physics 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler