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Lattice Poincare as a quantum deformed algebra

1994/06/21 by Cesar Gomez, Gomez, Cesar, Henri Ruegg +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9406137

plain.tex, 10 pages, shortened harvmac macros included

arxiv created 1994/06/21 · arxiv updated 2009/11/30

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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