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

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We study the two-particle form-factors for the relativistic limit of the integrable S-matrix of the mixed-flux AdS_3 X S^3 X T^4 string theory. The S-matrix theory was formally constructed in two distinct ways by two different teams. We…

High Energy Physics - Theory · Physics 2024-02-26 Alessandro Torrielli

We conjecture the set of asymptotic Bethe Ansatz equations for the {\it mirror} model of the $\text{AdS}_4\times\mathbb{CP}^3$ string theory, corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge theory in three…

High Energy Physics - Theory · Physics 2010-05-12 Diego Bombardelli , Davide Fioravanti , Roberto Tateo

We propose a fusion formula for AdS/CFT worldsheet boundary S-matrices. We show that, starting from the fundamental Y=0 boundary S-matrix, this formula correctly reproduces the two-particle bound-state boundary S-matrices.

High Energy Physics - Theory · Physics 2016-01-27 Rafael I. Nepomechie , Rodrigo A. Pimenta

In this talk we describe the application of the AdS/CFT correspondence for a confining background to the study of high energy scattering amplitudes in gauge theory. We relate the energy behaviour of scattering amplitudes to properties of…

High Energy Physics - Theory · Physics 2007-05-23 Romuald A. Janik

In this thesis we investigate quantum aspects of the Green-Schwarz superstring in various AdS backgrounds relevant for the AdS/CFT correspondence, providing several examples of perturbative computations in the corresponding integrable…

High Energy Physics - Theory · Physics 2017-02-15 Lorenzo Bianchi

We propose the dressing factors for the scattering of massive particles on the worldsheet of mixed-flux $AdS_3\times S^3\times T^4$ superstrings, in the string and mirror kinematics. The proposal passes all self-consistency checks in the…

High Energy Physics - Theory · Physics 2025-03-04 Sergey Frolov , Davide Polvara , Alessandro Sfondrini

A class of marginal deformations of four-dimensional N=4 super Yang-Mills theory has been found to correspond to a set of smooth, multiparameter deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5. We present here…

High Energy Physics - Theory · Physics 2009-11-11 Tristan McLoughlin , Ian Swanson

Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and Frolov, we derive the thermodynamic Bethe Ansatz equations which should control the spectrum of the planar $\text{AdS}_5/\text{CFT}_4$ correspondence. The…

High Energy Physics - Theory · Physics 2009-09-28 Diego Bombardelli , Davide Fioravanti , Roberto Tateo

We study a matrix product representation of the Bethe ansatz state for the Lieb-Linger model describing the one-dimensional Bose gas with delta-function interaction. We first construct eigenstates of the discretized model in the form of…

Statistical Mechanics · Physics 2014-11-20 Isao Maruyama , Hosho Katsura

Using transfer matrix and finite-size scaling methods, we study the thermodynamic behavior of a lattice gas with two kinds of particles on the square lattice. Only excluded volume interactions are considered, so that the model is athermal.…

Statistical Mechanics · Physics 2015-09-03 T. J. Oliveira , J. F. Stilck

We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a q-deformation of the AdS_5 x S^5…

High Energy Physics - Theory · Physics 2015-06-19 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

$AdS$ plane wave backgrounds are dual to CFT excited states with energy momentum density $T_{++}=Q$. Building on previous work on entanglement entropy in these and nonconformal brane plane wave backgrounds, we first describe a…

High Energy Physics - Theory · Physics 2014-07-23 Debangshu Mukherjee , K. Narayan

The algebraic Bethe ansatz can be performed rather abstractly for whole classes of models sharing the same $R$-matrix, the only prerequisite being the existence of an appropriate pseudo vacuum state. Here we perform the algebraic Bethe…

Statistical Mechanics · Physics 2017-08-16 Frank Göhmann , Alexander Seel

We analyze the Bethe ansatz equations describing the complete spectrum of the transition matrix of the partially asymmetric exclusion process on a finite lattice and with the most general open boundary conditions. We extend results obtained…

Statistical Mechanics · Physics 2009-01-27 Jan de Gier , Fabian H L Essler

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida

Tensor networks give simple representations of complex quantum states. They have proven useful in the study of condensed matter systems and conformal fields, and recently have provided toy models of AdS/CFT. Underlying the tensor network -…

High Energy Physics - Theory · Physics 2017-09-29 Alex May

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

Over the past decade and more, S-matrix-based calculational methods have experienced a resurgence, proving to be both an elegant and powerful tool for extracting physical quantities without the need for an underlying Lagrangian formulation.…

High Energy Physics - Theory · Physics 2024-09-11 Pietro Baratella , Joan Elias Miro , Emanuele Gendy

The open spin $s$ XXZ model with non-diagonal boundaries is considered. Within the algebraic Bethe ansatz framework and in the spirit of earlier works we derive suitable reference states. The derivation of the reference state is the crucial…

High Energy Physics - Theory · Physics 2008-11-26 Anastasia Doikou

We provide a brief characterization of the main features of the homogeneous sine-Gordon models and discuss a general construction principle for colour valued S-matrices, associated to a pair of simply laced Lie algebras, which contain the…

High Energy Physics - Theory · Physics 2007-05-23 A. Fring