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Non-chaotic dynamics for Yang-Baxter deformed $\text{AdS}_{4}\times \text{CP}^{3}$ superstrings
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abstract
We explore a novel class of Yang-Baxter deformed AdS$_{4}$ $\times$ CP$^{3}$ backgrounds [Jour. High Ener. Phys. \textbf{01} (2021) 056] which exhibit a non-chaotic dynamics for (super)strings propagating over it. We explicitly use the \textit{Kovacic's algorithm} in order to establish non-chaotic dynamics of string $ \sigma $ 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 Poincar\'{e} 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.
Forward citations
Cited by 2 Pith papers
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On integrability of tri-vector deformed Type II string
Poincaré sections and Lyapunov exponents for particular string embeddings survive tri-vector deformation of AdS4 times CP3, indicating possible classical integrability.
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String theory methods for defect CFTs
A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.
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