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 |