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The Euclidean Anti-de Sitter (AdS) space provides a natural framework for studying boundary conformal field theory (BCFT). We analyze the conformal boundary conditions of the critical O$(N)$ model in $d=4-\epsilon$ dimensions using the…

High Energy Physics - Theory · Physics 2025-07-31 Simone Giombi , Zimo Sun

Asymptotic Fock spaces lead to IR divergences in S-matrices. The issue can be traced back to the assumption of asymptotic decoupling, and its relaxation leads to Faddeev-Kulish states and an IR-finite S-matrix. In this paper we initiate the…

High Energy Physics - Theory · Physics 2022-11-28 Sarthak Duary , Eliot Hijano , Milan Patra

Locality of bulk operators in AdS imposes stringent constraints on their description in terms of the boundary CFT. These constraints are encoded as sum rules on the bulk-to-boundary expansion coefficients. In this paper, we construct…

High Energy Physics - Theory · Physics 2025-01-17 Nat Levine , Miguel F. Paulos

We initiate the study of bound state scattering in AdS space at the level of Witten diagrams. For concreteness, we focus on the case with only scalar fields and analyze several basic diagrams which more general diagrams reduce to. We obtain…

High Energy Physics - Theory · Physics 2022-08-24 Wen-Jie Ma , Xinan Zhou

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action…

High Energy Physics - Theory · Physics 2008-11-26 Geoffrey Compère , Don Marolf

We derive a universal formula for the overlaps between integrable matrix product states (MPS) and Bethe eigenstates in $\mathfrak{gl}_{N}$ symmetric spin chains. This formula expresses the normalized overlap as a product of a…

High Energy Physics - Theory · Physics 2025-08-29 Tamas Gombor

In this paper we perform the boundary algebraic Bethe Ansatz for massive representations of the $AdS_3 \times S^3 \times T^4$ integrable system. This is a companion analysis to our study of massless representations \cite{Bielli:2024bve}.…

High Energy Physics - Theory · Physics 2025-06-26 Daniele Bielli , Vasileios Moustakis , Alessandro Torrielli

We study overlaps between two regularized boundary states in conformal field theories. Regularized boundary states are dual to end of the world branes in an AdS black hole via the AdS/BCFT. Thus they can be regarded as microstates of a…

High Energy Physics - Theory · Physics 2021-06-30 Masamichi Miyaji , Tadashi Takayanagi , Tomonori Ugajin

A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are…

High Energy Physics - Theory · Physics 2010-02-03 M. R. Gaberdiel , A. Recknagel

The problem of constructing local bulk observables from boundary CFT data is of paramount importance in holography. In this work, we begin addressing this question from a modern bootstrap perspective. Our main tool is the boundary operator…

High Energy Physics - Theory · Physics 2023-11-17 Nat Levine , Miguel F. Paulos

In the AdS/CFT framework, vacuum and excited states are systematically described by imposing arbitrary Dirichlet boundary conditions at the AdS boundary. Furthermore, there are explicit relations connecting the quantum states to their…

High Energy Physics - Theory · Physics 2025-08-27 Marcelo Botta-Cantcheff , Facundo Lorenzo Cruz , Pedro J. Martinez

We study the $O(N)$ and Gross-Neveu models at large $N$ on AdS$_{d+1}$ background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO$(d,2)$ conformal group even in the presence of mass…

High Energy Physics - Theory · Physics 2019-02-20 Dean Carmi , Lorenzo Di Pietro , Shota Komatsu

We consider an open string stretched between a Y=0 brane and a Y_theta=0 brane. The latter brane is rotated with respect to the former by an angle theta, and is described by a non-diagonal boundary S-matrix. This system interpolates…

High Energy Physics - Theory · Physics 2016-03-23 Zoltan Bajnok , Rafael I. Nepomechie

In the previous paper [hep-th/9904129], we constructed a general explicit BPS solution for (F, D3) non-threshold bound state. By using the SL(2,Z) symmetry of type IIB string theory, we here construct from (F, D3) a more general BPS…

High Energy Physics - Theory · Physics 2009-10-31 J. X. Lu , Shibaji Roy

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state…

High Energy Physics - Theory · Physics 2011-08-25 Gleb Arutyunov , Marius de Leeuw , Alessandro Torrielli

We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible…

High Energy Physics - Theory · Physics 2015-06-11 Pedro Liendo , Leonardo Rastelli , Balt C. van Rees

Yang-Mills theory in AdS$_{4}$ with Dirichlet boundary conditions is expected to undergo a transition as the AdS radius varies, since the boundary data is incompatible with confinement in flat space. Various mechanisms have been proposed…

High Energy Physics - Theory · Physics 2025-12-02 Lorenzo Di Pietro , Stefanos R. Kousvos , Marco Meineri , Alessandro Piazza , Marco Serone , Alessandro Vichi

Bound entangled (BE) states are strange in nature: non-zero amount of free entanglement is required to create them but no free entanglement can be distilled from them under local operations and classical communication (LOCC). Even though…

Quantum Physics · Physics 2019-07-03 Saronath Halder , Manik Banik , Sibasish Ghosh

Using the algebraic Bethe ansatz, we derive a matrix product representation of the exact Bethe-ansatz states of the six-vertex Heisenberg chain (either XXX or XXZ and spin-$\frac{1}{2}$) with open boundary conditions. In this…

Quantum Physics · Physics 2017-07-14 Zhongtao Mei , C. J. Bolech

Using the fact that flat space with a boundary is related by a Weyl transformation to anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory (BCFT) by placing a CFT in AdS. In addition to correlation…

High Energy Physics - Theory · Physics 2025-11-20 Simone Giombi , Himanshu Khanchandani