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The non-integrability of $L^{a,b,c}$ quiver gauge theories

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arxiv 2009.11878 v2 pith:5WZ23I5Y submitted 2020-09-24 hep-th

Konstantinos S. Rigatos This is my paper · ORCID
classification hep-th
keywords stringanalysisconsiderquivertheoryadmitchaoticcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We show that the $AdS_5 \times L^{a,b,c}$ solution in type IIB theory is non-integrable. To do so, we consider a string embedding and study its fluctuations which do not admit Liouville integrable solutions. We, also, perform a numerical analysis to study the time evolution of the string and compute the largest Lyapunov exponent. This analysis indicates that the string motion is chaotic. Finally, we consider the point-like limit of the string that corresponds to BPS mesons of the quiver theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.

  3. Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    hep-th 2025-05 conditional novelty 4.0 of 10

    Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.

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