Investigating (non)-integrability and pulsating string in D3-brane background.
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| Title: | Investigating (non)-integrability and pulsating string in D3-brane background. |
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| Authors: | Nayak, Rashmi R.1 (AUTHOR) rashmi@coral.iitkgp.ac.in, Panigrahi, Kamal L.2 (AUTHOR) panigrahi@phy.iitkgp.ac.in, Samal, Manoranjan3 (AUTHOR) manoranjan.phys@gmail.com, Singh, Balbeer2 (AUTHOR) curiosity1729@kgpian.iitkgp.ac.in |
| Source: | European Physical Journal C -- Particles & Fields. Jun2025, Vol. 85 Issue 6, p1-14. 14p. |
| Subjects: | Legendre's functions, Geodesic motion, Lyapunov exponents, Perturbation theory, Dispersion relations |
| Abstract: | This work explores the (non)-integrability and chaotic dynamics of classical strings in the background of a D3-brane with a non-commutative parameter, within the framework of the AdS/CFT correspondence. Using the Polyakov action, we derive the equations of motion and constraints for pulsating strings and analyze their stability through perturbation theory. In the high-energy limit, the first-order perturbed equation simplifies to the Pöschl–Teller equation, solvable via associated Legendre or hypergeometric functions, while numerical methods are employed for generic energy values. We demonstrate that the non-commutative parameter enhances chaotic behavior, as evidenced by the Largest Lyapunov Exponent (LLE). Furthermore, we investigate the integrability of geodesic motion and identify two distinct string modes: captured at and escape to infinity. Finally, we study pulsating strings in the deformed (A d S 3 × S 2) ϰ background, deriving dispersion relations for both short and long strings. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | This work explores the (non)-integrability and chaotic dynamics of classical strings in the background of a D3-brane with a non-commutative parameter, within the framework of the AdS/CFT correspondence. Using the Polyakov action, we derive the equations of motion and constraints for pulsating strings and analyze their stability through perturbation theory. In the high-energy limit, the first-order perturbed equation simplifies to the Pöschl–Teller equation, solvable via associated Legendre or hypergeometric functions, while numerical methods are employed for generic energy values. We demonstrate that the non-commutative parameter enhances chaotic behavior, as evidenced by the Largest Lyapunov Exponent (LLE). Furthermore, we investigate the integrability of geodesic motion and identify two distinct string modes: captured at and escape to infinity. Finally, we study pulsating strings in the deformed (A d S 3 × S 2) ϰ background, deriving dispersion relations for both short and long strings. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346044 |
| DOI: | 10.1140/epjc/s10052-025-14401-9 |
