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The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry.…

High Energy Physics - Theory · Physics 2007-05-23 Yasuhiro Fujii , Miki Wadati

We analyse semiclassical strings in AdS in the limit of one large spin. In this limit, classical string dynamics is described by a finite number of collective coordinates corresponding to spikes or cusps of the string. The semiclassical…

High Energy Physics - Theory · Physics 2010-12-09 Nick Dorey , Manuel Losi

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

Using relationships between open and closed strings, we present a construction of tree-level scattering amplitudes for gravitons minimally coupled to matter in terms of gauge theory partial amplitudes. In particular, we present examples of…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bern , A. De Freitas , H. L. Wong

In this paper, we investigate how much of the numerical artefacts introduced by finite system size and choice of boundary conditions can be removed by finite size scaling, for strongly-correlated systems with quasi-long-range order.…

Strongly Correlated Electrons · Physics 2015-05-19 Sisi Tan , Siew Ann Cheong

We study 1-dimensional chains of ghost-spins with nearest neighbour interactions amongst them, developing further the study of ghost-spins in previous work, defined as 2-state spin variables with indefinite norm. First we study finite…

High Energy Physics - Theory · Physics 2017-11-29 Dileep P. Jatkar , K. Narayan

We study the semiclassical spectrum of bosonic string theory on AdS_3 x S^1 in the limit of large AdS angular momentum. At leading semiclassical order, this is a subsector of the IIB superstring on AdS_5 x S^5. The theory includes strings…

High Energy Physics - Theory · Physics 2008-12-19 Nick Dorey

The quantization of the giant magnon away from the infinite size limit is discussed. We argue that this quantization inevitably leads to string theory on a Z_M-orbifold of S^5. This is shown explicitly and examined in detail in the near…

High Energy Physics - Theory · Physics 2013-05-29 Bojan Ramadanovic , Gordon W. Semenoff

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which…

Strongly Correlated Electrons · Physics 2018-10-01 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

Lattice-based string formation algorithms can, at least in principle, be reduced to the study of the statistics of the corresponding aperiodic random walk. Since in three or more dimensions such walks are transient this approach necessarily…

High Energy Physics - Phenomenology · Physics 2009-10-28 Julian Borrill

We examine the spectrum of small perturbations around global and local (gauge) abelian vortices, using simple numerical matrix techniques. The results are of interest for both cosmic strings and for their condensed matter analogues,…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Goodband , M. Hindmarsh

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied within the paradigm of open quantum spin…

High Energy Physics - Theory · Physics 2009-11-11 Abhishek Agarwal

We analyze the one-loop effects of massive fields on 2-to-2 scattering processes involving gravitons. It has been suggested that in the presence of gravity, any local effective field theory description must break down at the "species…

High Energy Physics - Theory · Physics 2024-08-27 Simon Caron-Huot , Yue-Zhou Li

The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac's quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As…

High Energy Physics - Theory · Physics 2007-05-23 Igor Nikitin

We numerically study quantum chaos properties of long-range XXZ dipolar Hamiltonian spin systems. Two geometries are considered: (i) an open chain with 19 spins, (ii) a face-centered cubic lattice with 14 spins. Energy level-spacing…

Quantum Physics · Physics 2017-11-07 Dhrubo Jyoti

We introduce and motivate the study of quantum spin chains on a one-dimensional lattice. We classify the varieties of methods that have been used to study these models into three categories, - a) exact methods to study specific models b)…

Statistical Mechanics · Physics 2007-05-23 Sumathi Rao

We present a general study of the large family of exact integrable quantum chains with multispin interactions introduced recently in \cite{AP2020}. The exact integrability follows from the algebraic properties of the energy density…

Statistical Mechanics · Physics 2021-01-04 Francisco C. Alcaraz , Rodrigo A. Pimenta

The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of form factors of local operators are proposed using bosonization. Sufficient conditions such that the…

Exactly Solvable and Integrable Systems · Physics 2015-08-21 P. Baseilhac , T. Kojima

We demonstrate that in a triangular configuration of an optical lattice of two atomic species a variety of novel spin-1/2 Hamiltonians can be generated. They include effective three-spin interactions resulting from the possibility of atoms…

Quantum Physics · Physics 2009-11-10 Jiannis K. Pachos , Martin B. Plenio

We numerically study the dynamics and stationary states of a spin ensemble strongly coupled to a single-mode resonator subjected to loss and external driving. Employing a generalized cumulant expansion approach we analyze finite-size…

Quantum Physics · Physics 2019-08-06 Matthias Zens , Dmitry O. Krimer , Stefan Rotter