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Title: Yang-Baxter sigma models and Lax pairs arising from κ-Poincaré r-matrices
Authors: Borowiec, Andrzej
Kyono, Hideki
Lukierski, Jerzy
Sakamoto, Jun ichi
Yoshida, Kentaroh
Author's alias: 吉田, 健太郎
Keywords: Integrable Field Theories
Non-Commutative Geometry
Sigma Models
Issue Date: Apr-2016
Publisher: Springer Verlag
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 79
Abstract: Abstract: We study Yang-Baxter sigma models with deformed 4D Minkowski spacetimes arising from classical r-matrices associated with κ-deformations of the Poincaré algebra. These classical κ-Poincaré r-matrices describe three kinds of deformations: 1) the standard deformation, 2) the tachyonic deformation, and 3) the light-cone deformation. For each deformation, the metric and two-form B-field are computed from the associated r-matrix. The first two deformations, related to the modified classical Yang-Baxter equation, lead to T-duals of dS4 and AdS4, respectively. The third deformation, associated with the homogeneous classical Yang-Baxter equation, leads to a time-dependent pp-wave background. Finally, we construct a Lax pair for the generalized κ-Poincaré r-matrix that unifies the three kinds of deformations mentioned above as special cases.
Rights: © 2016, The Author(s). JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP04(2016)079
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