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Автор César Gómez
Автор Rafael Hernández
Дата выпуска 2007-03-01
dc.description The dispersion relation for planar N = 4 supersymmetric Yang-Mills is identified with the Casimir of a quantum deformed two-dimensional kinematical symmetry, E<sub>q</sub>(1, 1). The quantum deformed symmetry algebra is generated by the momentum, energy and boost, with deformation parameter q = e<sup>2πi/λ</sup>. Representing the boost as the infinitesimal generator for translations on the rapidity space leads to an elliptic uniformization with crossing transformations implemented through translations by the elliptic half-periods. This quantum deformed algebra can be interpreted as the kinematical symmetry of a discrete integrable model with lattice spacing given by the BMN length a = 2π/(λ)<sup>1/2</sup>. The interpretation of the boost generator as the corner transfer matrix is briefly discussed.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Quantum deformed magnon kinematics
Тип paper
DOI 10.1088/1126-6708/2007/03/108
Electronic ISSN 1029- 8479
Print ISSN 1126-6708
Журнал Journal of High Energy Physics
Том 2007
Первая страница 108
Последняя страница 108
Аффилиация César Gómez; Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
Аффилиация Rafael Hernández; Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
Выпуск 03

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