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The spectrum of open strings with integrable Y=0 brane boundary conditions is analyzed in planar AdS/CFT. We give evidence that it can be described by the same Y-system that governs the spectrum of closed strings in AdS_5xS^5, except with…

High Energy Physics - Theory · Physics 2015-06-05 Zoltan Bajnok , Rafael I. Nepomechie , Laszlo Palla , Ryo Suzuki

The Bethe lattice Ising model -- a classical model of statistical mechanics for the phase transition -- provides a novel and intuitive understanding of the prototypical relationship between tensor networks and Anti-de Sitter (AdS)/conformal…

Statistical Mechanics · Physics 2024-02-05 Kouichi Okunishi , Tadashi Takayanagi

The recent development of bootstrap methods based on semidefinite relaxations of positivity constraints has enabled rigorous two-sided bounds on local observables directly in the thermodynamic limit. However, these bounds inevitably become…

Strongly Correlated Electrons · Physics 2025-11-27 Michael G. Scheer , Nisarg Chadha , Da-Chuan Lu , Eslam Khalaf

The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane…

High Energy Physics - Theory · Physics 2010-02-03 Ilka Brunner , Matthias R. Gaberdiel

In this paper, we investigate the Kirkwood-Dirac nonclassicality and uncertainty diagram based on discrete Fourier transform (DFT) in a $d$ dimensional system. The uncertainty diagram of complete incompatibility bases $\mathcal {A},\mathcal…

Quantum Physics · Physics 2023-08-03 Ying-Hui Yang , Bing-Bing Zhang , Xiao-Li Wang , Shi-Jiao Geng , Pei-Ying Chen

We discuss an extension of a map between between BPS states and free fermions. The extension involves states associated with a full two matrix problem which are constructed using a sequence of integral equations. A two parameter set of…

High Energy Physics - Theory · Physics 2008-11-26 Aristomenis Donos , Antal Jevicki , Joao P. Rodrigues

We derive an integrable reflection matrix for the scattering of excitations from a boundary with a degree of freedom when the reflection process preserves an $SU(1|2)$ symmetry. As this residual symmetry is not sufficient to fully determine…

High Energy Physics - Theory · Physics 2026-02-11 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera , Nicolas A. Ivanovich

We explore the holographic principle in the context of asymptotically flat spacetimes. In analogy with the AdS/CFT scenario we analyse the asympotically symmetry group of this class of spacetimes, the so called Bondi-Metzner-Sachs (BMS)…

High Energy Physics - Theory · Physics 2010-04-05 Giovanni Arcioni , Claudio Dappiaggi

We explain how to take a well-defined flat-space limit of brane models of AdS coupled to a non-gravitating bath. In the dual BCFT this amounts to a triple-scaling limit where both the number of boundary degrees of freedom and the boundary…

High Energy Physics - Theory · Physics 2025-08-07 Dominik Neuenfeld

We resolve the entropy problem in the AdS$_3$/CFT correspondence by introducing both the normalizable and non-normalizable bulk modes. On the boundary, the normalizable Liouville states gives us $c=1$ conformal field theory(CFT), whereas…

High Energy Physics - Theory · Physics 2007-05-23 Y. S. Myung

In this work, we investigate possible bound states of the $D_s\bar{D}_s$ system in the Bethe-Salpeter formalism in the ladder and instantaneous approximations. By numerically solving the Bethe-Salpeter equation with a kernel that includes…

High Energy Physics - Phenomenology · Physics 2025-11-25 Jing-Juan Qi , Zhen-Yang Wang , Zhu-Feng Zhang , Xin-Heng Guo

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

In this paper we show how the Functional Separation of Variables (FSoV) method can be applied to the problem of computing overlaps with integrable boundary states in integrable systems. We demonstrate our general method on the example of a…

High Energy Physics - Theory · Physics 2024-05-17 Simon Ekhammar , Nikolay Gromov , Paul Ryan

We find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of…

High Energy Physics - Theory · Physics 2008-11-26 Gleb Arutyunov , Sergey Frolov

We apply the algebraic Bethe ansatz technique to compute the eigenvalues of the transfer matrix constructed from the general bound state S-matrix of the light-cone AdS5 x S5 superstring. This allows us to verify certain conjectures on the…

High Energy Physics - Theory · Physics 2009-10-20 Gleb Arutyunov , Marius de Leeuw , Ryo Suzuki , Alessandro Torrielli

One dimensional $(1d)$ interacting systems with local Hamiltonians can be studied with various well-developed analytical methods. Recently novel $1d$ physics was found numerically in systems with either spatially nonlocal interactions, or…

Strongly Correlated Electrons · Physics 2021-02-16 Chao-Ming Jian , Yichen Xu , Xiao-Chuan Wu , Cenke Xu

A state in a quantum system with a given global symmetry, $G$, can be sensitive to the presence of boundaries, which may either preserve or break this symmetry. In this work, we investigate how conformal invariant boundary conditions…

High Energy Physics - Theory · Physics 2025-09-15 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

The principle of boundary bootstrap plays a significant role in the algebraic study of the purely elastic boundary reflection matrix $K_a(\theta)$ for integrable quantum field theory defined on a space-time with a boundary. However, general…

High Energy Physics - Theory · Physics 2007-05-23 J. D. Kim , Y. Yoon

We study two-dimensional conformal field theories (CFTs) with boundaries via the conformal bootstrap. We derive a positive semi-definite program from crossing symmetry of three observables: the annulus partition function, the two-point…

High Energy Physics - Theory · Physics 2025-06-24 Marco Meineri , Bharathkumar Radhakrishnan

We reexamine Bethe ansatz solutions of the massive Thirring model. We solve equations of periodic boundary conditions numerically without referring to the density of states. It is found that there is only one bound state in the massive…

High Energy Physics - Theory · Physics 2014-11-18 Takehisa Fujita , Kenji Yamamoto , Yasuyuki Sekiguchi
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