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

2023/10/27 by Jitendra Pal, Sourav Roychowdhury, Arindam Lala +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons

paper · pdf · doi:10.1007/jhep10(2023)173

openalex publication_date 2023/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A bstract We study integrability and non-integrability for marginal deformations of 4d N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 SCFTs and a class of non-integrable N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 SCFTs at strong coupling. We also generalise our results in the presence of the flavor branes.

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