https://doi.org/10.1140/epjc/s10052-024-12594-z
Regular Article - Theoretical Physics
Non-chaotic dynamics for Yang–Baxter deformed 
superstrings
1
Department of Physics, Indian Institute of Technology Roorkee, 247667, Roorkee, Uttarakhand, India
2
Department of Physics, Indian Institute of Technology Madras, 600036, Chennai, Tamil Nadu, India
3
Institute of Physics, Sachivalaya Marg, 751005, Bhubaneswar, Odisha, India
4
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400085, Mumbai, India
Received:
14
November
2023
Accepted:
19
February
2024
Published online:
12
March
2024
We explore a novel class of Yang–Baxter deformed 
backgrounds (J High Energy Phys 01:056, 2021) which exhibit a non-chaotic dynamics for (super)strings propagating over it. We explicitly use the Kovacic’s algorithm in order to establish non-chaotic dynamics of string 
models over these deformed backgrounds. This analysis is complemented with numerical techniques whereby we probe the classical phase space of these (semi)classical strings and calculate various chaos indicators, such as, the Poincaré sections and the Lyapunov exponents. We find compatibility between the two approaches. Nevertheless, our analysis does not ensure integrability; rather, it excludes the possibility of non-integrability for the given string embeddings.
© The Author(s) 2024
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