Abstract
Motivated by recent studies related to integrability of string motion in various backgrounds via analytical and numerical procedures, we discuss these procedures for a well known integrable string background (AdS5 × S5)η. We start by revisiting conclusions from earlier studies on string motion in (ℝ × S3)η and (AdS3)η and then move on to more complex problems of (ℝ × S5)η and (AdS5)η. Discussing both analytically and numerically, we deduce that while (AdS5)η strings do not encounter any irregular trajectories, string motion in the deformed five-sphere can indeed, quite surprisingly, run into chaotic trajectories. We discuss the implications of these results both on the procedures used and the background itself.
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Banerjee, A., Bhattacharyya, A. Probing analytical and numerical integrability: the curious case of (AdS5 × S5)η. J. High Energ. Phys. 2018, 124 (2018). https://doi.org/10.1007/JHEP11(2018)124
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DOI: https://doi.org/10.1007/JHEP11(2018)124