Ultralocal Lax connection for para-complex ZT-cosets

We consider σ-models on para-complex ZT-cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, we show the existence of a gauge-invariant Lax connection whose Poisson brackets are ultralocal. Furthermore, its light-cone components...

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Bibliographic Details
Published in:Nuclear physics. B 2019-12, Vol.949, Article 114821
Main Authors: Delduc, F., Kameyama, T., Lacroix, S., Magro, M., Vicedo, B.
Format: Article
Language:English
Online Access:Get full text
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Summary:We consider σ-models on para-complex ZT-cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, we show the existence of a gauge-invariant Lax connection whose Poisson brackets are ultralocal. Furthermore, its light-cone components commute with one another in the sense of Poisson brackets. This extends a result of O. Brodbeck and M. Zagermann obtained twenty years ago for hermitian symmetric spaces.
ISSN:0550-3213
1873-1562
DOI:10.1016/j.nuclphysb.2019.114821