RT Journal Article
T1 Quantum deformed magnon kinematics
A1 Gómez, César
A1 Hernández Redondo, Rafael
AB The dispersion relation for planar N = 4 supersymmetric Yang-Mills is identified with the Casimir of a quantum deformed two-dimensional kinematical symmetry, Eq(1, 1). The quantum deformed symmetry algebra is generated by the momentum, energy and boost, with deformation parameter q = e2πi/λ. 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 halfperiods. 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 . The interpretation of the boost generator as the corner transfer matrix is briefly discussed.
PB Springer
SN 1029-8479
YR 2007
FD 2007-03
LK https://hdl.handle.net/20.500.14352/52139
UL https://hdl.handle.net/20.500.14352/52139
LA eng
NO © SISSA 2007. This work is partially supported by the Spanish DGI contract FPA2003-02877 and CAM project HEPHACOS P-ESP-00346.
NO Spanish DGI
NO CAM, Spain
DS Docta Complutense
RD 9 abr 2025