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.
A note on integrability loss in fuzzball geometries
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abstract
We study the dynamics of certain string configurations in a class of fivebrane supertube backgrounds. In the decoupling limit of the fivebranes, these solutions are known to admit an exact description in worldsheet string theory and string propagation is integrable. For the asymptotically flat solutions, we prove, by using analytic tools of classical Hamiltonian systems, the non-integrability of classical string motion. This suggests that string dynamics in circular supertube geometries exhibit a regime of chaotic behaviour.
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Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
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.