Work

Non-chaotic dynamics for Yang–Baxter deformed $$\text {AdS}_{4}\times \text {CP}^{3}$$ superstrings

Year: 2024

Type: article

Abstract: We explore a novel class of Yang–Baxter deformed $$\hbox {AdS}_{4} \times \hbox {CP}^{3}$$ AdS 4 × CP 3 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 $$\sigma $$ σ 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.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-024-12594-z

Authors: Jitendra Pal, Hemant Rathi, Arindam Lala, Dibakar Roychowdhury

Institutions: Indian Institute of Technology Roorkee, Homi Bhabha National Institute, Indian Institute of Technology Madras, Institute of Physics, Bhubaneshwar

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond