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Related papers: 6-Vertex Model on an Open String Worldsheet

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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

We study numerically the density profile in the six-vertex model with domain wall boundary conditions. Using a Monte Carlo algorithm originally proposed by Allison and Reshetikhin we numerically evaluate the inhomogeneous density profiles…

Statistical Mechanics · Physics 2017-05-10 Ivar Lyberg , Vladimir Korepin , Jacopo Viti

We use the boundary state formalism for the bosonic string to calculate the emission amplitude for closed string states from particular D-branes. We show that the amplitudes obtained are exactly the same as those obtained from the…

High Energy Physics - Theory · Physics 2007-05-23 M. Laidlaw

The random percolation model can be viewed as the dual of a well defined confining gauge theory; since this theory, having no Monte Carlo dynamics at all, is simple to simulate, it is possible to study the properties of the flux tube with…

High Energy Physics - Lattice · Physics 2009-04-14 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

We present the algebraic Bethe Ansatz solution for the vertex model recently proposed by Zhou as the classical analog of the Bariev interacting XY chains. The relevant commutation rules between the creation fields contain the Hecke symmetry…

Statistical Mechanics · Physics 2009-10-30 M. J. Martins , P. B. Ramos

We study the Bethe ansatz equations for a generalized $XXZ$ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a…

High Energy Physics - Theory · Physics 2008-11-26 Anatol N. Kirillov , Nadejda A. Liskova

We review the status of integrable models from the point of view of their dynamics and integrability conditions. Some integrable models are discussed in detail. We comment on the use it is made of them in string theory. We also discuss the…

High Energy Physics - Theory · Physics 2015-05-13 Elcio Abdalla , Antonio Lima Santos

We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully…

Statistical Mechanics · Physics 2014-12-09 Chihiro Matsui

In this article, we make a gauge theory from the Open p-brane system and map it into the Open 2-brane one. Due to the presence of second class constraints in this model, we encounter some problems during the procedure of quantization. In…

High Energy Physics - Theory · Physics 2015-12-31 Fahimeh Sarvi , Majid Monemzadeh , Salman Abarghouei Nejad

We use the correspondence between string states and local operators on the world-sheet boundary defined by vertex operators in open string theory to put in correspondence, holographically, the bosonic open string with the large N limit of a…

High Energy Physics - Theory · Physics 2010-02-03 Mariano Cadoni , Paolo Carta

The finite-size spectrum of the critical staggered six-vertex model with antidiagonal boundary conditions is studied. Similar to the case of periodic boundary conditions, we identify three different phases. In two of those, the underlying…

High Energy Physics - Theory · Physics 2024-08-22 Holger Frahm , Sascha Gehrmann

A discrete-to-continuum transformation to model 2-D discrete lattices as energetically equivalent 1-D continuum beams is developed. The study is initiated in a classical setting but results in a non-classical two-scale micropolar beam model…

Applied Physics · Physics 2020-10-20 Anssi T. Karttunen , J. N. Reddy

We consider the dynamics of a contracting universe ruled by two minimally coupled scalar fields with general exponential potentials. This model describes string-inspired scenarios in the Einstein frame. Both background and perturbations can…

High Energy Physics - Theory · Physics 2009-11-07 Fabio Finelli

We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the…

High Energy Physics - Theory · Physics 2009-11-07 Ivan K. Kostov

In this letter, we report our systematic construction of the lattice Hamiltonian model of topological orders on open surfaces, with explicit boundary terms. We do this mainly for the Levin-Wen stringnet model. The full Hamiltonian in our…

Strongly Correlated Electrons · Physics 2017-07-04 Yuting Hu , Yidun Wan , Yong-Shi Wu

Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of data: first, a consistent collection of reflection…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

We study the origin of turbulence on the string worldsheet with boundaries laid in anti de Sitter (AdS) spacetime. While the classical motion of a single closed string in AdS is integrable, it has recently been recognized that weak…

High Energy Physics - Theory · Physics 2023-10-13 Takaaki Ishii , Keiju Murata , Kentaroh Yoshida

We diagonalise the Hamiltonian of the Temperley-Lieb loop model with open boundaries using a coordinate Bethe Ansatz calculation. We find that in the groundstate sector of the loop Hamiltonian, but not in other sectors, a certain constraint…

High Energy Physics - Theory · Physics 2011-02-16 Jan de Gier , Pavel Pyatov

We study the scattering of long strings in c = 1 string theory, both in the worldsheet description and in the non-singlet sector of the dual matrix quantum mechanics. From the worldsheet perspective, the scattering amplitudes of long…

High Energy Physics - Theory · Physics 2019-02-20 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

We formulate and solve a class of two-dimensional matrix gauge models describing ensembles of non-folding surfaces covering an oriented, discretized, two-dimensional manifold. We interpret the models as string theories characterized by a…

High Energy Physics - Theory · Physics 2014-11-18 Ivan K. Kostov , Matthias Staudacher