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arXiv · 1512.00208

Lax pairs for deformed Minkowski spacetimes

Hideki Kyono·Jun-ichi Sakamoto·Kentaroh Yoshida
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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 Poincaé generators. As other examples, we present Lax pairs for pp-wave backgrounds, the Hashimoto-Sethi background, the Spradlin-Takayanagi-Volovich background.

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Hideki Kyono, Jun-ichi Sakamoto, Kentaroh Yoshida. 2015-12-01. Lax pairs for deformed Minkowski spacetimes. https://doi.org/10.1007/jhep01(2016)143

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