Abstract
Recently, Arutyunov, Bassi and Lacroix have shown that 2D non-linear sigma model with a deformed T1,1 background is classically integrable [arXiv:2010.05573 [hep-th]]. This background includes a Kalb-Ramond two-form with a critical value. Then the sigma model has been conjectured to be non-integrable when the two-form is off critical. We confirm this conjecure by explicitly presenting classical chaos. With a winding string ansatz, the system is reduced to a dynamical system described by a set of ordinary differential equations. Then we find classical chaos, which indicates non-integrability, by numerically computing Poincaré sections and Lyapunov spectra for some initial conditions.
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Ishii, T., Kushiro, S. & Yoshida, K. Chaotic string dynamics in deformed T1,1. J. High Energ. Phys. 2021, 158 (2021). https://doi.org/10.1007/JHEP05(2021)158
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DOI: https://doi.org/10.1007/JHEP05(2021)158