Abstract
The dispersion relation for planar 
= 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 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)1/2. The interpretation of the boost generator as the corner
transfer matrix is briefly discussed.
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