Lattice Poincare as a quantum deformed algebra
Cesar Gomez, Henri Ruegg, Philippe Zaugg
Abstract
We propose a definition of a Poincaré algebra for a two dimensional space--time with one discretized dimension. This algebra has the structure of a Hopf algebra. We use the link between Onsager's uniformization of the Ising model and the dispersion relation of a free particle in this space--time, together with the rapidity representation of the quantum deformation of the Poincaré enveloping algebra.
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