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Non-integrability for $ \mathcal{N}=1 $ SCFTs in $ 5d $

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arxiv 2106.10646 v2 pith:MST55E6G submitted 2021-06-20 hep-th

Dibakar Roychowdhury This is my paper · ORCID
classification hep-th
keywords mathcalscftsemphnon-integrabilitystringstypeanalysisanalytic
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abstract

We explore the \emph{Liouvillian} non-integrability criteria for long quiver gauge theories those preserve $ \mathcal{N}=1 $ SUSY in $ 5d $. We probe type IIB solutions with (an $ AdS_6 $ factor) semi-classical strings which capture the strong coupling dynamics of $ \mathcal{N}=1 $ SCFTs in $ 5d $. Our analysis reveals an underlying non-integrable structure within some sub-sector of these $ 5d $ SCFTs. To solidify our claim, we complement our analytic results through numerics. We estimate various chaos indicators for the phase space which confirm the onset of a \emph{chaotic} motion for these type IIB strings.

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  1. Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA

    hep-th 2024-12 conditional novelty 6.0 of 10

    Only the sinusoidal quiver α(z)=A sin(ωz) in the new massive type IIA AdS5 family shows no chaotic signatures, providing suggestive evidence for its classical integrability.

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