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Related papers: Microscopic formulation of the S-matrix in AdS/CFT

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We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS_5 x S^5 mirror model. We further demonstrate how these equations can be used to construct the associated Y-system recently…

High Energy Physics - Theory · Physics 2009-05-29 Gleb Arutyunov , Sergey Frolov

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

We compute the one-loop worldsheet S-matrix for the superstring in AdS(3) x S(3) x T(4) supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from…

High Energy Physics - Theory · Physics 2015-06-23 Per Sundin , Linus Wulff

We construct the boundary algebraic Bethe Ansatz for the AdS3 X S3 X T4 integrable reflection problem restricted to the massless sector. We derive the double-row monodromy and find the appropriate formulation of the dual equation of…

High Energy Physics - Theory · Physics 2024-12-02 Daniele Bielli , Vasileios Moustakis , Alessandro Torrielli

We consider the algebraic Bethe ansatz solution of the integrable and isotropic XXX-S Heisenberg chain with non-diagonal open boundaries. We show that the corresponding K-matrices are similar to diagonal matrices with the help of suitable…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 C. S. Melo , G. A. P. Ribeiro , M. J. Martins

We derive a simple relation between the Mellin amplitude for AdS/CFT correlation functions and the bulk S-Matrix in the flat spacetime limit, proving a conjecture of Penedones. As a consequence of the Operator Product Expansion, the Mellin…

High Energy Physics - Theory · Physics 2015-06-03 A. Liam Fitzpatrick , Jared Kaplan

We propose an all-order perturbative expression for the dressing phase of the AdS_5 x S^5 string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the…

High Energy Physics - Theory · Physics 2011-03-23 Niklas Beisert , Rafael Hernandez , Esperanza Lopez

We explore the analytic structure of the non-perturbative S-matrix in arguably the simplest family of massive non-integrable quantum field theories: the Ising field theory (IFT) in two dimensions, which may be viewed as the Ising CFT…

High Energy Physics - Theory · Physics 2022-04-20 Barak Gabai , Xi Yin

We substantiate a covariant proposal for the holographic reflected entropy in $CFT$s dual to non-static $AdS$ geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the…

High Energy Physics - Theory · Physics 2022-12-27 Mir Afrasiar , Himanshu Chourasiya , Vinayak Raj , Gautam Sengupta

We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS_5xS^5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the…

High Energy Physics - Theory · Physics 2008-11-26 Cesar Gomez , Rafael Hernandez

In this thesis we present some computations made in both sides of the AdS/CFT holographic correspondence using the integrability of both theories. Regarding the string theory side, this thesis is focused in the computation of the dispersion…

High Energy Physics - Theory · Physics 2017-12-13 Juan Miguel Nieto

We propose exact $S$-matrices for the AdS_3/CFT_2 duality between Type IIB strings on AdS_3 x S^3 x M_4 with M_4=S^3 x S^1 or T^4 and the corresponding two-dimensional conformal field theories. We fix the complete two-particle S-matrices…

High Energy Physics - Theory · Physics 2015-06-12 Changrim Ahn , Diego Bombardelli

We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS_5 x S^5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the…

High Energy Physics - Theory · Physics 2009-11-10 Gleb Arutyunov , Sergey Frolov , Matthias Staudacher

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a…

High Energy Physics - Theory · Physics 2011-05-12 Horacio Casini , Marina Huerta , Robert C. Myers

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis…

q-alg · Mathematics 2009-10-28 Takashi Takebe

We derive the Bethe Ansatz Equations on the half line for particles interacting through factorized $S$-matrices invariant relative to the centrally extended $su(2|2)$ Lie superalgebra and $su(1|2)$ open boundaries. These equations may be of…

High Energy Physics - Theory · Physics 2009-08-03 W. Galleas

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

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the…

High Energy Physics - Theory · Physics 2022-05-06 Ivan Kostov

We investigate the reflected entropy for various mixed state configurations in the two dimensional holographic conformal field theories sharing a common interface (ICFTs). In the AdS$_3$/ICFT$_2$ framework, we compute the holographic…

High Energy Physics - Theory · Physics 2024-10-10 Jaydeep Kumar Basak , Debarshi Basu , Vinay Malvimat , Himanshu Parihar , Gautam Sengupta