The chiral WZNW phase space as a quasi-Poisson space

نویسندگان

  • J. Balog
  • L. Palla
چکیده

It is explained that the chiral WZNW phase space is a quasi-Poisson space with respect to the ‘canonical’ Lie quasi-bialgebra which is the classical limit of Drinfeld’s quasi-Hopf deformation of the universal enveloping algebra. This exemplifies the notion of quasi-Poisson-Lie symmetry introduced recently by Alekseev and Kosmann-Schwarzbach. PACS codes: 11.25.Hf, 11.10.Kk, 11.30.Na keywords: WZNW model, exchange algebra, Lie quasi-bialgebra, quasi-Poisson space ∗Corresponding author’s e-mail: [email protected], phone/fax: (+36) 62 544 368.

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تاریخ انتشار 2000