A Triangular Deformation of the two Dimensional Poincare Algebra

Details A Triangular Deformation of the two Dimensional Poincare Algebra A Triangular Deformation of the two Dimensional Poincare Algebra

1994-12-04

arxiv.org/abs/hep-th/9412029v1

Mod.Phys.Lett. A10 (1995) 873-884

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, Two figures upon request

Scientific paper

10.1142/S0217732395000958

Contracting the $h$-deformation of $\SL(2,\Real)$, we construct a new deformation of two dimensional Poincar\'e algebra, the algebra of functions on its group and its differential structure. It is also shown that the Hopf algebra is triangular, and its universal R matrix is also constructed explicitly. Then, we find a deformation map for the universal enveloping algebra, and at the end, give the deformed mass shells and Lorentz transformation.

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