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A new quantum so(2,2) algebra

Francisco J. Herranz
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Abstract

By starting from the non-standard quantum deformation of the sl(2,R) algebra, a new quantum deformation for the real Lie algebra so(2,2) is constructed by imposing the former to be a Hopf subalgebra of the latter. The quantum so(2,2) algebra so obtained is realized as a quantum conformal algebra of the (1+1) Minkowskian spacetime. This Hopf algebra is shown to be the symmetry algebra of a time discretization of the (1+1) wave equation and its contraction gives rise to a new $(2+1)$ quantum Poincar\'e algebra.

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Francisco J. Herranz. 1999-11-18. A new quantum so(2,2) algebra. https://arxiv.org/abs/math/9911138

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