On marginal deformations and non-integrability
dc.contributor.author | Giataganas, Dimitrios | |
dc.contributor.author | Zayas, Leopoldo A. Pando | |
dc.contributor.author | Zoubos, Konstantinos | |
dc.contributor.email | kzoubos@up.ac.za | en_ZA |
dc.date.accessioned | 2015-07-21T05:13:55Z | |
dc.date.available | 2015-07-21T05:13:55Z | |
dc.date.issued | 2014-01 | |
dc.description.abstract | We study the interplay between a particular marginal deformation of N = 4 super Yang-Mills theory, the β deformation, and integrability in the holographic setting. Using modern methods of analytic non-integrability of Hamiltonian systems, we find that, when the β parameter takes imaginary values, classical string trajectories on the dual background become non-integrable. We expect the same to be true for generic complex β parameter. By exhibiting the Poincar´e sections and phase space trajectories for the generic complex β case, we provide numerical evidence of strong sensitivity to initial conditions. Our findings agree with expectations from weak coupling that the complex β deformation is non-integrable and provide a rigorous argument beyond the trial and error approach to non-integrability. | en_ZA |
dc.description.librarian | hb2015 | en_ZA |
dc.description.sponsorship | The European Social Fund (ESF) and National Resources. This work is partially supported by the Department of Energy under grant DE-FG02-95ER40899 to the University of Michigan. | en_ZA |
dc.description.uri | http://www.springer.com/physics/particle+and+nuclear+physics/journal/13130 | en_ZA |
dc.identifier.citation | Giataganas D, Zayas LAP & Zoubos K 2014, 'On marginal deformations and non-integrability', Journal of High Energy Physics, vol. 129, no.1, pp.1-16. | en_ZA |
dc.identifier.issn | 1126-6708 (print) | |
dc.identifier.issn | 1029-8479 (online) | |
dc.identifier.issn | 10.1007/JHEP01(2014)129 | |
dc.identifier.uri | http://hdl.handle.net/2263/49121 | |
dc.language.iso | en | en_ZA |
dc.publisher | SpringerOpen Journal | en_ZA |
dc.rights | © 2014 Giataganas et al. ; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0). | en_ZA |
dc.subject | AdS-CFT correspondence | en_ZA |
dc.subject | Conformal field models in string theory | en_ZA |
dc.title | On marginal deformations and non-integrability | en_ZA |
dc.type | Article | en_ZA |