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Related papers: Holographic BCFT with Dirichlet Boundary Condition

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In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement…

High Energy Physics - Theory · Physics 2022-09-21 Qi-Lin Hu , Dongqi Li , Rong-Xin Miao , Yu-Qian Zeng

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or…

High Energy Physics - Theory · Physics 2013-05-29 Tadashi Takayanagi

We investigate the covariant Hamiltonian symplectic structure of General Relativity for spatially bounded regions of spacetime with a fixed time-flow vector. For existence of a well-defined Hamiltonian variational principle taking into…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Stephen C. Anco , Roh S. Tung

We study a three-dimensional holographic CFT under the influence of a background electric field on a spacetime containing two black hole horizons. The electric background is fixed such that there is potential difference between the two…

High Energy Physics - Theory · Physics 2024-05-28 William D. Biggs , Jorge E. Santos

In the background of a charged AdS black hole, we consider a Dirac particle endowed with an arbitrary magnetic dipole moment. For non-zero charge and dipole coupling of the bulk fermion, we find that the dual boundary theory can be plagued…

High Energy Physics - Theory · Physics 2016-01-27 Manuela Kulaxizi , Rakibur Rahman

In AdS, scalar fields with masses slightly above the Breitenlohner-Freedman bound admit a variety of possible boundary conditions which are reflected in the Lagrangian of the dual field theory. Generic small changes in the AdS boundary…

High Energy Physics - Theory · Physics 2009-11-11 Donald Marolf , Simon Ross

We provide very mild sufficient conditions for space-time domains (non-necessarily cylindrical) which ensure that the continuous Dirichlet problem and the H\"older Dirichlet problem are well-posed, for any parabolic operator in divergence…

Analysis of PDEs · Mathematics 2025-10-07 Pablo Hidalgo-Palencia , Cody Hutcheson , Joseph Kasel

We analyze the supersymmetric defect indices of $\mathcal{N}=4$ super Yang Mills theories which are simultaneously decorated by the BPS line operators and the boundary conditions. We demonstrate that the two-point functions of the boundary…

High Energy Physics - Theory · Physics 2025-08-21 Yasuyuki Hatsuda , Tadashi Okazaki

A finite action principle for three-dimensional gravity with negative cosmological constant, based on a boundary condition for the asymptotic extrinsic curvature, is considered. The bulk action appears naturally supplemented by a boundary…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

We expand the results of arXiv:1105.5165, where a holographic description of a conformal field theory defined on a manifold with boundaries (so called BCFT) was proposed, based on AdS/CFT. We construct gravity duals of conformal field…

High Energy Physics - Theory · Physics 2011-11-18 Mitsutoshi Fujita , Tadashi Takayanagi , Erik Tonni

In addition to describing our universe, gravitational theories profoundly inspire the study of emergent properties of exotic phases of matter. While the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence is one of the most…

Strongly Correlated Electrons · Physics 2024-11-11 Alejo Costa Duran , Mauricio Sturla , Ludovic D. C. Jaubert , Han Yan

We revisit the question of conformal boundary conditions in the compact free boson CFT in two dimensions. Besides the well-known Neumann and Dirichlet cases, there is an additional proposed one-parameter family of boundary states when the…

High Energy Physics - Theory · Physics 2026-05-20 Yucong Cai , Daniel Robbins , Hassaan Saleem

We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the ambiguity inherent in the Wald-Zoupas…

High Energy Physics - Theory · Physics 2021-04-21 Venkatesa Chandrasekaran , Antony J. Speranza

According to Witten [1], the conformal boundary condition of gravity, which specifies the conformal geometry of the boundary and the trace of the extrinsic curvature, is elliptic and leads to well-defined perturbation theory of gravity…

High Energy Physics - Theory · Physics 2022-01-20 Chong-Sun Chu , Rong-Xin Miao

We prove the possibility of existence of stationary bound states of spin-half particles in the Reissner-Nordstroem gravitational field using a self-conjugate Hamiltonian with a flat scalar product of wave functions. Bound states of Dirac…

General Relativity and Quantum Cosmology · Physics 2017-04-26 M. V. Gorbatenko , V. P. Neznamov

We study the holography of the new conformal higher spin theories imposing general boundary conditions and the near horizon boundary conditions. General boundary conditions lead to the asymptotic symmetry algebra which is a loop algebra of…

High Energy Physics - Theory · Physics 2025-05-14 I. Lovrekovic

We investigate the formation of topological defects in the course of a dynamical phase transition with different boundary conditions in a ring from AdS/CFT correspondence. According to the Kibble-Zurek mechanism, quenching the system across…

High Energy Physics - Theory · Physics 2022-05-25 Zhi-Hong Li , Han-Qing Shi , Hai-Qing Zhang

We numerically construct asymptotically $AdS$ black brane solutions of $D=4$ Einstein theory coupled to a scalar and two $U(1)$ gauge fields. The solutions are holographically dual to $d=3$ CFTs in a constant external magnetic field along…

High Energy Physics - Theory · Physics 2016-11-23 Aristomenis Donos , Christiana Pantelidou

This paper is an extended version of our short letter on a new proposal for holographic boundary conformal field, i.e., BCFT. By using the Penrose-Brown-Henneaux (PBH) transformation, we successfully obtain the expected boundary Weyl…

High Energy Physics - Theory · Physics 2017-05-24 Chong-Sun Chu , Rong-Xin Miao , Wu-Zhong Guo

According to the AdS/CFT dictionary, adding a relevant double-trace deformation $f\int O^2$ to a holographic CFT action is dual to imposing mixed Neumann/Dirichlet boundary conditions for the field dual to $O$ in AdS. We observed similar…

High Energy Physics - Theory · Physics 2024-04-29 Machiko Fukada , Akihiro Miyata