Can I read Non-integrability in AdS$_3$ vacua on EtoBox?

Non-integrability in AdS$_3$ vacua by Rigatos, Konstantinos S. is a scholarly article available to read on EtoBox.

What is Non-integrability in AdS$_3$ vacua about?

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. That is, of course, modulo very specific limits where the metrics reduce to the AdS$_3 \times$ S$^3 \times \tilde{S}^3 \times$ S$^1$ and AdS$_3 \times$ S$^3 \times$ T$^4$ solutions which are known to be integrable.

Author

Rigatos, Konstantinos S.

Published

2020

Language

EN