论文标题
旧问题的新方法:最大真空d = 7超级
New methods for old problems: vacua of maximal D = 7 supergravities
论文作者
论文摘要
寻找超级重力理论的真空是一个出色的问题,已经通过多种方式解决了,通过这项工作,我们为难题添加了一种新方法。我们分析了七个时空维度中最大测量超级理论的标量扇区。我们通过改变嵌入张量,而不是直接最大程度地降低标量势来寻找理论的真空。通过进化策略优化技术解决了由该过程产生的二次约束,这也是在人工智能研究中采用的。我们开发了一些从数值结局开始重建和获得分析结果的方法,从而获得了完整的质谱。除了一些已知的真空吸尘器外,我们还获得了两个新的Minkowski真空吸尘器。
Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven space-time dimensions. We look for vacua of the theory by varying the embedding tensor, instead of directly minimising the scalar potential. The set of quadratic constraints arising from this procedure has been solved by means of Evolution Strategies optimisation techniques, also adopted in Artificial Intelligence studies. We develop some methods to reconstruct and obtain analytical results starting from numerical outcomes, thus obtaining the complete mass spectra. In addition to some of the known vacua, we also obtain two new Minkowski vacua.