On marginal deformations and non-integrability
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Date
Authors
Giataganas, Dimitrios
Zayas, Leopoldo A. Pando
Zoubos, Konstantinos
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen Journal
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.
Description
Keywords
AdS-CFT correspondence, Conformal field models in string theory
Sustainable Development Goals
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.