Integrability and non-integrability for marginal deformations of 4d $\mathcal N = 2$ SCFTs

Arindam Lala; Dibakar Roychowdhury; Jitendra Pal; Sourav Roychowdhury

Integrability and non-integrability for marginal deformations of 4d $\mathcal N = 2$ SCFTs

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arxiv 2307.12079 v2 pith:IIMXNHYB submitted 2023-07-22 hep-th

Jitendra Pal , Sourav Roychowdhury , Arindam Lala , Dibakar Roychowdhury This is my paper · ORCID

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keywords mathcalscftsdeformationsclassdeformationdynamicsintegrabilityintegrable

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abstract

We study integrability and non-integrability for marginal deformations of 4d $\mathcal N =2$ SCFTs. We estimate various chaos indicators for the bulk theory which clearly shows the onset of a chaotic string dynamics in the limit of large deformations. On the other hand, for small values of the deformation parameter, the resulting dynamics exhibits a non-chaotic motion and therefore presumably an underlying integrable structure. Our analysis reveals that the $\gamma$-deformation in the type-IIA theory could be interpreted as an interpolation between a class of integrable $\mathcal N =2$ SCFTs and a class of non-integrable $\mathcal N =1$ SCFTs at strong coupling. We also generalise our results in the presence of the flavor branes.

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