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Title: Spin chain from marginally deformed AdS{sub 3}xS{sup 3}

Abstract

We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed AdS{sub 3}xS{sup 3}. This corresponds to a closed trajectory swept out by the SU(2) or SL(2) spin vector on the surface of one-parameter deformed two-sphere or hyperboloid in the background of an anisotropic magnetic field interaction. In the limit of small deformation, a class of general Landau-Lifshitz equation with a nontrivial anisotropic matrix can be derived.

Authors:
 [1]
  1. Department of Physics and Center for Theoretical Sciences, National Taiwan University, Taipei 106, Taiwan (China)
Publication Date:
OSTI Identifier:
21020220
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.067901; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; DE SITTER GROUP; DEFORMATION; HAMILTONIANS; MAGNETIC FIELDS; MATRICES; QUANTUM FIELD THEORY; SL GROUPS; SPIN; STRING MODELS; SU-2 GROUPS; VECTORS

Citation Formats

Wen, W.-Y.. Spin chain from marginally deformed AdS{sub 3}xS{sup 3}. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.067901.
Wen, W.-Y.. Spin chain from marginally deformed AdS{sub 3}xS{sup 3}. United States. doi:10.1103/PHYSREVD.75.067901.
Wen, W.-Y.. Thu . "Spin chain from marginally deformed AdS{sub 3}xS{sup 3}". United States. doi:10.1103/PHYSREVD.75.067901.
@article{osti_21020220,
title = {Spin chain from marginally deformed AdS{sub 3}xS{sup 3}},
author = {Wen, W.-Y.},
abstractNote = {We derive a spin chain Hamiltonian from a fast spinning string in the marginally deformed AdS{sub 3}xS{sup 3}. This corresponds to a closed trajectory swept out by the SU(2) or SL(2) spin vector on the surface of one-parameter deformed two-sphere or hyperboloid in the background of an anisotropic magnetic field interaction. In the limit of small deformation, a class of general Landau-Lifshitz equation with a nontrivial anisotropic matrix can be derived.},
doi = {10.1103/PHYSREVD.75.067901},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}