Chaotic string dynamics in deformed T1,1
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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.
2016 ◽
Vol 78
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pp. 9-16
1999 ◽
Vol 68
(8)
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pp. 2810-2816
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2000 ◽
Vol 69
(8)
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pp. 2712-2713
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1990 ◽
Vol 13
(3)
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pp. 383-392
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1970 ◽
Vol 10
(1)
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pp. 95-111
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