Ultralocal Lax connection for para-complex ZT-cosets

被引：9

作者：

Delduc, F. ^{[1
]}

Kameyama, T. ^{[2
]}

Lacroix, S. ^{[3
,4
]}

Magro, M. ^{[1
]}

Vicedo, B. ^{[5
]}

机构：

[1] Univ Lyon, Ens Lyon, Univ Claude Bernard, CNRS,Lab Phys, F-69342 Lyon, France

[2] 2-10-3 Shimonikura, Wako, Saitama 3510111, Japan

[3] Univ Hamburg, Inst Theoret Phys 2, Luruper Chaussee 149, D-22761 Hamburg, Germany

[4] Univ Hamburg, Zentrum Math Phys, Bundesstr 55, D-20146 Hamburg, Germany

[5] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

NUCLEAR PHYSICS B | 2019年 / 949卷

关键词：

INVERSE SCATTERING METHOD; SIGMA-MODELS; YANGIAN SYMMETRY; ALGEBRAS; CHARGE; GRADINGS;

D O I：

10.1016/j.nuclphysb.2019.114821

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We consider sigma-models on para-complex Z(T)-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. (C) 2019 The Authors. Published by Elsevier B.V.

引用

页数：14