标题： 关于渐近局部AdS时空中的能量界限 显示英文标题

标题： On energy bounds in asymptotically locally AdS spacetimes

摘要： 这项工作考虑了渐近局部AdS时空中的正能量定理。 特别关注那些共形无穷具有紧致爱因斯坦横截面并允许Killing或平行旋量的时空；根据横截面内在的几何数据，为此类时空推导出了正能量定理。 随后给出了4D和5D最小规范超引力（玻色子部分）中BPS不等式的首次完整证明，包括带有磁场的情况。 BPS不等式已在渐近AdS时空下得到证明，但也推广到了上述的渐近局部AdS时空类别中。 显示英文摘要

摘要： This work considers positive energy theorems in asymptotically, locally AdS spacetimes. Particular attention is given to spacetimes where conformal infinity has compact, Einstein cross-sections admitting Killing or parallel spinors; a positive energy theorem is derived for such spacetimes in terms of geometric data intrinsic to the cross-section. This is followed by the first complete proofs of the BPS inequalities in (the bosonic sectors of) 4D and 5D minimal, gauged supergravity, including with magnetic fields. The BPS inequalities are proven for asymptotically AdS spacetimes, but also generalised to the aforementioned class of asymptotically, locally AdS spacetimes.