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 γ-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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Acknowledgments
We are indebted to Carlos Nunez for clarifying several issues along with his key insights on various parts of our work. The authors J.P. and D.R. are indebted to the authorities of IIT Roorkee for their unconditional support towards researches in basic sciences. D.R. also acknowledges The Royal Society, UK for financial support.
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Pal, J., Roychowdhury, S., Lala, A. et al. Integrability and non-integrability for marginal deformations of 4d \( \mathcal{N} \) = 2 SCFTs. J. High Energ. Phys. 2023, 173 (2023). https://doi.org/10.1007/JHEP10(2023)173
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DOI: https://doi.org/10.1007/JHEP10(2023)173