On marginal deformations and non-integrability

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dc.contributor.author Giataganas, Dimitrios
dc.contributor.author Zayas, Leopoldo A. Pando
dc.contributor.author Zoubos, Konstantinos
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


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