Non-integrability in AdS$_3$ vacua

Understand

We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS$_3$ factor arising in massive IIA and IIB theories and realizing various and different amounts of supersymmetry.

• Our approach is based on a well-established method of analytic non-integrability for Hamiltonian systems.
• To detect a non-integrable sector we consider a non-trivially wrapped string soliton and study its fluctuations.
• We answer in the negative for each and every one of the supergravity solutions.