Abstract
We show that the string worldsheet theory of Gaiotto-Maldacena holographic duals to \( \mathcal{N}=2 \) superconformal field theories generically fails to be classically integrable. We demonstrate numerically that the dynamics of a winding string configuration possesses a non-vanishing Lyapunov exponent. Furthermore an analytic study of the Normal Variational Equation fails to yield a Liouvillian solution. An exception to the generic non-integrability of such backgrounds is provided by the non-Abelian T-dual of AdS5 × S5; here by virtue of the canonical transformation nature of the T-duality classical integrability is known to be present.
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Nunez, C., Roychowdhury, D. & Thompson, D.C. Integrability and non-integrability in \( \mathcal{N}=2 \) SCFTs and their holographic backgrounds. J. High Energ. Phys. 2018, 44 (2018). https://doi.org/10.1007/JHEP07(2018)044
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DOI: https://doi.org/10.1007/JHEP07(2018)044