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We study an integrable conformal OSp(2m + 2|2m) supercoset model as an analog to the AdS_5 X S^5 superstring world-sheet theory. Using the known S-matrix for this system, we obtain integral equations for states of large particle density in…

High Energy Physics - Theory · Physics 2008-11-26 Nelia Mann , Joe Polchinski

We give a review of some recent work on generalization of the Bethe ansatz in the case of $2+1$-dimensional models of quantum field theory. As such a model, we consider one associated with the tetrahedron equation, i.e. the…

solv-int · Physics 2015-06-26 Igor G. Korepanov

Recently, an impressive agreement was found between anomalous dimensions of certain operators in N=4 SYM and rotating strings with two angular momenta in the bulk of AdS5xS5. A one-loop field theory computation, which involves solving a…

High Energy Physics - Theory · Physics 2014-11-18 Martin Kruczenski

In this paper we make the connection between semi-classical string quantization and exact conformal field theory quantization of strings in 2+1 Anti de Sitter spacetime. More precisely, considering the WZWN model corresponding to SL(2,R)…

High Energy Physics - Theory · Physics 2009-10-31 A. L. Larsen , N. Sánchez

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

In these proceedings we review the results of [1-3]. We show on the example of the SU(2) chiral-field how to reproduce the classical finite gap solutions for a large class of integrable sigma models from their exact quantum solutions. These…

High Energy Physics - Theory · Physics 2011-04-11 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

Generalizing the idea of hep-th/0509015 by Berenstein, Correa, and Vazquez, we study many-magnon states in an SU(2) sector of a reduced matrix quantum mechanics obtained from N=4 SU(N) super Yang-Mills on R x S^3. Generic Q-magnon states…

High Energy Physics - Theory · Physics 2010-10-27 Yasuyuki Hatsuda , Keisuke Okamura

We compare solutions of the quantum string Bethe equations with explicit one-loop calculations in the sigma-model on AdS(5)xS(5). The Bethe ansatz exactly reproduces the spectrum of infinitely long strings. When the length is finite, we…

High Energy Physics - Theory · Physics 2014-11-18 Sakura Schafer-Nameki , Marija Zamaklar , Konstantin Zarembo

In this paper we investigate complex solutions of the Bethe equations in the two-particle sector both for arbitrary finite number of sites and for the thermodynamic limit . We find the number of complex solutions (strings) and compare it…

High Energy Physics - Theory · Physics 2014-11-18 A. Ilakovac , M. Kolanovic , S. Pallua , P. Prester

We investigate the integrable structures in an N=2 superconfomal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that correspond to free string states. In the…

High Energy Physics - Theory · Physics 2009-11-10 Bin Chen , Xiao-Jun Wang , Yong-Shi Wu

We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x S(1) or M(4)=T(4). String theory in this background is interesting because of AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa…

High Energy Physics - Theory · Physics 2017-08-23 Nitin Rughoonauth , Per Sundin , Linus Wulff

Almost one century ago, string states - complex bound states (Wellenkomplexe) of magnetic excitations - have been predicted to exist in one-dimensional quantum magnets and since then become a subject of intensive theoretical study. However,…

The emergence of quasiparticles is a universal property in integrable systems. String-type quasiparticles, which are characterized by the string solutions of Bethe equations, play fundamental roles in the analysis of their physics. Through…

Statistical Mechanics · Physics 2023-03-07 Yuki Ishiguro , Jun Sato , Katsuhiro Nishinari

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 review and compare the integrable structures in N=4 gauge theory and string theory on AdS5xS5. Recently, Bethe ansaetze for gauge theory/weak coupling and string theory/strong coupling were proposed to describe scaling dimensions in the…

High Energy Physics - Theory · Physics 2011-03-23 Niklas Beisert

We investigate the large $N$ behavior of the complex solutions for the two magnon system in the S=1/2 Heisenberg XXZ model. The Bethe ansatz equations are numerically solved for the string solutions with new iteration method. A clear…

Condensed Matter · Physics 2009-11-07 T. Fujita , T. Kobayashi , H. Takahashi

Recently a significant progress in matching the anomalous dimensions of certain class of operators in N=4 SYM theory and rotating strings was made. The correspondence was established mainly using Bethe ansatz technique applied to the spin s…

High Energy Physics - Theory · Physics 2009-11-10 H. Dimov , R. C. Rashkov

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by…

High Energy Physics - Theory · Physics 2009-06-10 Gleb Arutyunov , Sergey Frolov

We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help…

High Energy Physics - Theory · Physics 2008-11-26 N. Beisert , A. A. Tseytlin , K. Zarembo

N=4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS_5xS^5. The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the…

High Energy Physics - Theory · Physics 2009-11-11 Rafael Hernandez , Esperanza Lopez , Africa Perianez , German Sierra
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