Alleviating the non-ultralocality of coset σ-models through a generalized Faddeev-Reshetikhin procedure

F. Delduc, M. Magro, B. Vicedo

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    25 Citations (Scopus)
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    The Faddeev-Reshetikhin procedure corresponds to a removal of the non-ultralocality of the classical SU(2) principal chiral model. It is realized by defining another field theory, which has the same Lax pair and equations of motion but a different Poisson structure and Hamiltonian. Following earlier work of M. Semenov-Tian-Shansky and A. Sevostyanov, we show how it is possible to alleviate in a similar way the non-ultralocality of symmetric space σ-models. The equivalence of the equations of motion holds only at the level of the Pohlmeyer reduction of these models, which corresponds to symmetric space sine-Gordon models. This work therefore shows indirectly that symmetric space sine-Gordon models, defined by a gauged Wess-Zumino-Witten action with an integrable potential, have a mild non-ultralocality. The first step needed to construct an integrable discretization of these models is performed by determining the discrete analogue of the Poisson algebra of their Lax matrices.
    Original languageEnglish
    Article number19
    Number of pages30
    JournalJournal of High Energy Physics (JHEP)
    Issue number8
    Publication statusPublished - Aug 2012


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