Chaotic string dynamics in deformed T1,1

A bstract Recently, Arutyunov, Bassi and Lacroix have shown that 2D non-linear sigma model with a deformed T 1,1 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 no...

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Published inThe journal of high energy physics Vol. 2021; no. 5
Main Authors Ishii, Takaaki, Kushiro, Shodai, Yoshida, Kentaroh
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2021
Springer Nature B.V
Subjects
Classical and Quantum Gravitation
Deformation
Differential equations
Elementary Particles
Field theory
High energy physics
Initial conditions
Ordinary differential equations
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Strings
Two dimensional models
Sigma Models
Integrable Field Theories
Bosonic Strings
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Summary:A bstract Recently, Arutyunov, Bassi and Lacroix have shown that 2D non-linear sigma model with a deformed T 1,1 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2021)158