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String Theory includes a plethora of higher-spin excitations, which clearly lie behind its most spectacular properties, but whose detailed behavior is largely unknown. Conversely, string interactions contain much useful information on…

High Energy Physics - Theory · Physics 2014-11-21 A. Sagnotti , M. Taronna

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 integrable spin chains, the spectral problem can be solved by the method of Bethe ansatz, which transforms the problem of diagonalization of the Hamiltonian into the problem of solving a set of algebraic equations named Bethe equations.…

High Energy Physics - Theory · Physics 2025-08-27 Yi-Jun He , Jue Hou , Yi-Chao Liu , Zi-Xi Tan

We extend and generalise the string corrections to the EM memory to the Type I superstring including spin effects. Very much as in the simpler bosonic string context, the relevant corrections are non-perturbative in $\alpha'$, slowly…

High Energy Physics - Theory · Physics 2022-01-05 Alice Aldi , Massimo Bianchi , Maurizio Firrotta

We analyze the effects of zeta-function regularization on the evaluation of quantum corrections to spinning strings. Previously, this method was applied in the sl(2) subsector and yielded agreement to third order in perturbation theory with…

High Energy Physics - Theory · Physics 2009-11-11 Sakura Schafer-Nameki , Marija Zamaklar

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

Various string models of mesons and baryons include a string carrying 2 or 3 massive points (quarks or antiquarks). Rotational states (planar uniform rotations) of these systems generate quasilinear Regge trajectories and may be used for…

High Energy Physics - Phenomenology · Physics 2013-05-20 G. S. Sharov

A new exactly solvable one-dimensional spin-3/2 Heisenberg model with SO(5)-invariance is proposed. The eigenvalues and Bethe ansatz equations of the model are obtained by using the nested algebraic Bethe ansatz approach. Several exotic…

Strongly Correlated Electrons · Physics 2009-07-08 Yuzhu Jiang , Junpeng Cao , Yupeng Wang

We observe a different type of complex solutions in the isotropic spin-1/2 Heisenberg chain starting from N=12, where the central rapidity of some of the odd-length strings becomes complex making not all the strings self-conjugate…

High Energy Physics - Theory · Physics 2015-02-12 Tetsuo Deguchi , Pulak Ranjan Giri

Supersymmetry operators that change a spin chain's length have appeared in numerous contexts, ranging from the AdS/CFT correspondence to statistical mechanics models. In this article, we present, via an analysis of the Bethe equations, all…

Mathematical Physics · Physics 2015-06-18 David Meidinger , Vladimir Mitev

The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions…

Mathematical Physics · Physics 2015-06-23 Rafael I. Nepomechie , Chunguang Wang

The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-$\frac{1}{2}$ chain is investigated. Numerical calculations shows that, for this state,…

Mathematical Physics · Physics 2018-06-20 S. Belliard , A. Faribault

We identify the gauge theory dual of a spinning string of minimal energy with spins S_1, S_2 on AdS_5 and charge J on S^5. For this purpose we focus on a certain set of local operators with two different types of covariant derivatives…

High Energy Physics - Theory · Physics 2010-02-26 Lisa Freyhult , Adam Rej , Stefan Zieme

These notes are devoted to the intriguing and still largely unexplored links between String Theory and Higher Spins, the types of excitations that lie behind its most cherished properties. A closer look at higher-spin fields provides some…

High Energy Physics - Theory · Physics 2015-03-13 A. Sagnotti

Considerable progress has been achieved recently in the observation of string breaking within non-Abelian Higgs models, by use of multi-channel methods allowing for broken string states. Similarly, in pure gauge theory this approach has…

High Energy Physics - Lattice · Physics 2015-06-25 K. Schilling

We describe a simple quantum mechanical method that can be used to obtain accurate numerical results over long time scales for the spin correlation tensor of an electron spin that is hyperfine coupled to a large number of nuclear spins.…

Quantum Physics · Physics 2018-08-13 Lachlan P. Lindoy , David E. Manolopoulos

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5xS5. We then quantize the theory perturbatively in the near plane-wave limit, and compute the…

High Energy Physics - Theory · Physics 2009-11-11 Sergey Frolov , Jan Plefka , Marija Zamaklar

We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. The method involves a simple general regularization of all basic…

High Energy Physics - Theory · Physics 2015-06-26 Stephen Hwang , Robert Marnelius , Panagiotis Saltsidis

This work presents a comprehensive benchmark and validation of a recently proposed method called Effective Bethe Ansatz (EBA). It is a variational method that deforms the exact Bethe wavefunctions of one-dimensional spin chains at…

Statistical Mechanics · Physics 2026-04-07 Zhuohang Wang , Rui-Dong Zhu

The modified algebraic Bethe ansatz, introduced by Cramp\'e and the author [8], is used to characterize the spectral problem of the Heisenberg XXZ spin-$\frac{1}{2}$ chain on the segment with lower and upper triangular boundaries. The…

Mathematical Physics · Physics 2015-01-19 Samuel Belliard