Ultralocal Lax connection for para-complex ZT-cosets
F. Delduc, T. Kameyama, S. Lacroix and 2 more
Nuclear Physics B · 2019
doi:10.1016/j.nuclphysb.2019.114821 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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