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Integrability and non-integrability for marginal deformations of 4d $$ \mathcal{N} $$ = 2 SCFTs
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Abstract
We study integrability and non-integrability for marginal deformations of 4d $$ \mathcal{N} $$
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 $$ \mathcal{N} $$
N
= 2 SCFTs and a class of non-integrable $$ \mathcal{N} $$
N
= 1 SCFTs at strong coupling. We also generalise our results in the presence of the flavor branes.
Springer Science and Business Media LLC
Title: Integrability and non-integrability for marginal deformations of 4d $$ \mathcal{N} $$ = 2 SCFTs
Description:
Abstract
We study integrability and non-integrability for marginal deformations of 4d $$ \mathcal{N} $$
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 $$ \mathcal{N} $$
N
= 2 SCFTs and a class of non-integrable $$ \mathcal{N} $$
N
= 1 SCFTs at strong coupling.
We also generalise our results in the presence of the flavor branes.
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