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Title: Lax pairs for deformed Minkowski spacetimes
Authors: Kyono, Hideki
Sakamoto, Jun ichi
Yoshida, Kentaroh
Author's alias: 吉田, 健太郎
Keywords: Integrable Field Theories
Sigma Models
Issue Date: Jan-2016
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 143
Abstract: We proceed to study Yang-Baxter deformations of 4D Minkowski spacetime based on a conformal embedding. We first revisit a Melvin background and argue a Lax pair by adopting a simple replacement law invented in 1509.00173. This argument enables us to deduce a general expression of Lax pair. Then the anticipated Lax pair is shown to work for arbitrary classical r-matrices with Poincaré generators. As other examples, we present Lax pairs for pp-wave backgrounds, the Hashimoto-Sethi background, the Spradlin-Takayanagi-Volovich background.
Rights: © 2016, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP01(2016)143
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