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Scientific article
English

Twisted classical Poincaré algebras

Published inJournal of Physics. A, Mathematical and General, vol. 27, no. 7, p. 2389-2399
Publication date1994
Abstract

We consider the twisting of the Hopf structure for the classical enveloping algebra U(g), where g is an inhomogenous rotation algebra, with explicit formulae given for the D=4 Poincare algebra (g=P4). The comultiplications of twisted UF(P4) are obtained by conjugating the primitive classical coproducts by F in U(C)(X)U(C), where c denotes any Abelian subalgebra of P4, and the universal R-matrices for UF(P4) are triangular. As an example we show that the quantum deformation of the Poincare algebra recently proposed by Chaichian and Demiczev is a twisted classical Poincare algebra. The interpretation of the twisted Poincare algebra as describing relativistic symmetries with clustered two-particle states is proposed.

Funding
  • Swiss National Science Foundation - 93.0083
Citation (ISO format)
LUKIERSKI, Jerzy et al. Twisted classical Poincaré algebras. In: Journal of Physics. A, Mathematical and General, 1994, vol. 27, n° 7, p. 2389–2399. doi: 10.1088/0305-4470/27/7/018
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ISSN of the journal0305-4470
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