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The general Leigh-Strassler deformation and integrability
Author(s) -
Daniel Bundzik,
Teresia Månsson
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/01/116
Subject(s) - integrable system , mathematical physics , planar , hamiltonian (control theory) , context (archaeology) , hamiltonian system , deformation (meteorology) , matrix (chemical analysis) , operator (biology) , pure mathematics , mathematics , physics , theoretical physics , computer science , geology , gene , paleontology , computer graphics (images) , mathematical optimization , biochemistry , chemistry , materials science , composite material , repressor , transcription factor , meteorology
The success of the identification of the planar dilatation operator of N=4SYM with an integrable spin chain Hamiltonian has raised the question if thisalso is valid for a deformed theory. Several deformations of SYM have recentlybeen under investigation in this context. In this work we consider the generalLeigh-Strassler deformation. For the generic case the S-matrix techniquescannot be used to prove integrability. Instead we use R-matrix techniques tostudy integrability. Some new integrable points in the parameter space arefound.Comment: 22 pages, 8 figures, reference adde

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