论文标题
广告中的非整合性$ _3 $ vacua
Non-integrability in AdS$_3$ vacua
论文作者
论文摘要
我们向包含ADS $ _3 $因子的某些（类）超级真空吸尘器的经典可集成性问题询问，该问题是在大规模的IIA和IIB理论中产生的，并实现了各种和不同数量的超对称性。我们的方法基于一种公认的对哈密顿系统的分析性非整合性方法。为了检测不可综合的部门，我们考虑了一个非平整包裹的弦乐并研究其波动。我们对每种超级解决方案的负面回答。也就是说，当然，Modulo非常具体的限制，指标将其减少到AD $ _3 \ times $ s $ s $^3 \ times \ tilde {s}^3 \ times $ s $ s $^1 $和ads $ _3 \ times $ s $ s $ s $ s $^3 \ times $ times $ t $ t $ t $^4 $^4 $解决方案，这些解决方案已知。
We ask the question of classical integrability for certain (classes of) supergravity vacua that contain an AdS$_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.
