On marginal deformations and non-integrability

dc.contributor.authorGiataganas, Dimitrios
dc.contributor.authorZayas, Leopoldo A. Pando
dc.contributor.authorZoubos, Konstantinos
dc.contributor.emailkzoubos@up.ac.zaen_ZA
dc.date.accessioned2015-07-21T05:13:55Z
dc.date.available2015-07-21T05:13:55Z
dc.date.issued2014-01
dc.description.abstractWe 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.librarianhb2015en_ZA
dc.description.sponsorshipThe 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.urihttp://www.springer.com/physics/particle+and+nuclear+physics/journal/13130en_ZA
dc.identifier.citationGiataganas 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.issn1126-6708 (print)
dc.identifier.issn1029-8479 (online)
dc.identifier.issn10.1007/JHEP01(2014)129
dc.identifier.urihttp://hdl.handle.net/2263/49121
dc.language.isoenen_ZA
dc.publisherSpringerOpen Journalen_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.subjectAdS-CFT correspondenceen_ZA
dc.subjectConformal field models in string theoryen_ZA
dc.titleOn marginal deformations and non-integrabilityen_ZA
dc.typeArticleen_ZA

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